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Finding the Fourth Proportional to 138,397,316.40, 207,595,974.60 and 138,397,316.40

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Solution

The fourth proportional to 138,397,316.40, 207,595,974.60 and 138,397,316.40 is: 207,595,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,397,316.40 : 207,595,974.60 = 138,397,316.40 : x
  2. Step 2: Convert to fraction form
    138,397,316.40/207,595,974.60 = 138,397,316.40/x
  3. Step 3: Cross multiply
    138,397,316.40x = 207,595,974.60 × 138,397,316.40
  4. Step 4: Simplify right side
    138,397,316.40x = 28,730,725,780,082,564
  5. Step 5: Solve for x
    x = 28,730,725,780,082,564/138,397,316.40
  6. Step 6: Final answer
    x = 207,595,974.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.