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Finding the Fourth Proportional to 138,154.34, 207,223.05 and 81,259.71

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Solution

The fourth proportional to 138,154.34, 207,223.05 and 81,259.71 is: 121,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,154.34 : 207,223.05 = 81,259.71 : x
  2. Step 2: Convert to fraction form
    138,154.34/207,223.05 = 81,259.71/x
  3. Step 3: Cross multiply
    138,154.34x = 207,223.05 × 81,259.71
  4. Step 4: Simplify right side
    138,154.34x = 16,838,884,948.32
  5. Step 5: Solve for x
    x = 16,838,884,948.32/138,154.34
  6. Step 6: Final answer
    x = 121,884.59

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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.