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Finding the Fourth Proportional to 138,433.10, 207,358.04 and 138,433.10

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Solution

The fourth proportional to 138,433.10, 207,358.04 and 138,433.10 is: 207,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,433.10 : 207,358.04 = 138,433.10 : x
  2. Step 2: Convert to fraction form
    138,433.10/207,358.04 = 138,433.10/x
  3. Step 3: Cross multiply
    138,433.10x = 207,358.04 × 138,433.10
  4. Step 4: Simplify right side
    138,433.10x = 28,705,216,287.12
  5. Step 5: Solve for x
    x = 28,705,216,287.12/138,433.10
  6. Step 6: Final answer
    x = 207,358.04

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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.