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Finding the Fourth Proportional to 138,838.60, 207,966.30 and 76,436.20

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Solution

The fourth proportional to 138,838.60, 207,966.30 and 76,436.20 is: 114,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,838.60 : 207,966.30 = 76,436.20 : x
  2. Step 2: Convert to fraction form
    138,838.60/207,966.30 = 76,436.20/x
  3. Step 3: Cross multiply
    138,838.60x = 207,966.30 × 76,436.20
  4. Step 4: Simplify right side
    138,838.60x = 15,896,153,700.06
  5. Step 5: Solve for x
    x = 15,896,153,700.06/138,838.60
  6. Step 6: Final answer
    x = 114,493.76

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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.