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Finding the Fourth Proportional to 54,658.55, 81,987.86 and 42,196.78

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Solution

The fourth proportional to 54,658.55, 81,987.86 and 42,196.78 is: 63,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.55 : 81,987.86 = 42,196.78 : x
  2. Step 2: Convert to fraction form
    54,658.55/81,987.86 = 42,196.78/x
  3. Step 3: Cross multiply
    54,658.55x = 81,987.86 × 42,196.78
  4. Step 4: Simplify right side
    54,658.55x = 3,459,623,691.09
  5. Step 5: Solve for x
    x = 3,459,623,691.09/54,658.55
  6. Step 6: Final answer
    x = 63,295.20

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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.