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Finding the Fourth Proportional to 55,662, 83,354.48 and 38,943.76

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Solution

The fourth proportional to 55,662, 83,354.48 and 38,943.76 is: 58,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,662 : 83,354.48 = 38,943.76 : x
  2. Step 2: Convert to fraction form
    55,662/83,354.48 = 38,943.76/x
  3. Step 3: Cross multiply
    55,662x = 83,354.48 × 38,943.76
  4. Step 4: Simplify right side
    55,662x = 3,246,136,864.04
  5. Step 5: Solve for x
    x = 3,246,136,864.04/55,662
  6. Step 6: Final answer
    x = 58,318.72

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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.