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Finding the Fourth Proportional to 137,248.92, 205,939.02 and 77,325.12

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Solution

The fourth proportional to 137,248.92, 205,939.02 and 77,325.12 is: 116,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,248.92 : 205,939.02 = 77,325.12 : x
  2. Step 2: Convert to fraction form
    137,248.92/205,939.02 = 77,325.12/x
  3. Step 3: Cross multiply
    137,248.92x = 205,939.02 × 77,325.12
  4. Step 4: Simplify right side
    137,248.92x = 15,924,259,434.18
  5. Step 5: Solve for x
    x = 15,924,259,434.18/137,248.92
  6. Step 6: Final answer
    x = 116,024.66

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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.