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Finding the Fourth Proportional to 138,411.70, 207,617.55 and 103,419.70

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Solution

The fourth proportional to 138,411.70, 207,617.55 and 103,419.70 is: 155,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.70 : 207,617.55 = 103,419.70 : x
  2. Step 2: Convert to fraction form
    138,411.70/207,617.55 = 103,419.70/x
  3. Step 3: Cross multiply
    138,411.70x = 207,617.55 × 103,419.70
  4. Step 4: Simplify right side
    138,411.70x = 21,471,744,735.74
  5. Step 5: Solve for x
    x = 21,471,744,735.74/138,411.70
  6. Step 6: Final answer
    x = 155,129.55

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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.