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Finding the Fourth Proportional to 129,477.92, 194,292.20 and 54,593.40

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Solution

The fourth proportional to 129,477.92, 194,292.20 and 54,593.40 is: 81,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,477.92 : 194,292.20 = 54,593.40 : x
  2. Step 2: Convert to fraction form
    129,477.92/194,292.20 = 54,593.40/x
  3. Step 3: Cross multiply
    129,477.92x = 194,292.20 × 54,593.40
  4. Step 4: Simplify right side
    129,477.92x = 10,607,071,791.48
  5. Step 5: Solve for x
    x = 10,607,071,791.48/129,477.92
  6. Step 6: Final answer
    x = 81,921.86

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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.