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Finding the Fourth Proportional to 137,944.71, 206,812.19 and 71,342.39

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Solution

The fourth proportional to 137,944.71, 206,812.19 and 71,342.39 is: 106,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,944.71 : 206,812.19 = 71,342.39 : x
  2. Step 2: Convert to fraction form
    137,944.71/206,812.19 = 71,342.39/x
  3. Step 3: Cross multiply
    137,944.71x = 206,812.19 × 71,342.39
  4. Step 4: Simplify right side
    137,944.71x = 14,754,476,611.12
  5. Step 5: Solve for x
    x = 14,754,476,611.12/137,944.71
  6. Step 6: Final answer
    x = 106,959.35

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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.