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Finding the Fourth Proportional to 57,165.30, 85,845.15 and 42,390.90

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Solution

The fourth proportional to 57,165.30, 85,845.15 and 42,390.90 is: 63,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,165.30 : 85,845.15 = 42,390.90 : x
  2. Step 2: Convert to fraction form
    57,165.30/85,845.15 = 42,390.90/x
  3. Step 3: Cross multiply
    57,165.30x = 85,845.15 × 42,390.90
  4. Step 4: Simplify right side
    57,165.30x = 3,639,053,169.14
  5. Step 5: Solve for x
    x = 3,639,053,169.14/57,165.30
  6. Step 6: Final answer
    x = 63,658.43

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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.