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Finding the Fourth Proportional to 54,877.52, 82,229.79 and 42,428

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Solution

The fourth proportional to 54,877.52, 82,229.79 and 42,428 is: 63,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877.52 : 82,229.79 = 42,428 : x
  2. Step 2: Convert to fraction form
    54,877.52/82,229.79 = 42,428/x
  3. Step 3: Cross multiply
    54,877.52x = 82,229.79 × 42,428
  4. Step 4: Simplify right side
    54,877.52x = 3,488,845,530.12
  5. Step 5: Solve for x
    x = 3,488,845,530.12/54,877.52
  6. Step 6: Final answer
    x = 63,575.13

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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.