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Finding the Fourth Proportional to 138,196.46, 207,293.94 and 119,419.40

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Solution

The fourth proportional to 138,196.46, 207,293.94 and 119,419.40 is: 179,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.46 : 207,293.94 = 119,419.40 : x
  2. Step 2: Convert to fraction form
    138,196.46/207,293.94 = 119,419.40/x
  3. Step 3: Cross multiply
    138,196.46x = 207,293.94 × 119,419.40
  4. Step 4: Simplify right side
    138,196.46x = 24,754,917,938.44
  5. Step 5: Solve for x
    x = 24,754,917,938.44/138,196.46
  6. Step 6: Final answer
    x = 179,128.45

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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.