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Finding the Fourth Proportional to 42,167.70, 63,189 and 17,177.22

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Solution

The fourth proportional to 42,167.70, 63,189 and 17,177.22 is: 25,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,167.70 : 63,189 = 17,177.22 : x
  2. Step 2: Convert to fraction form
    42,167.70/63,189 = 17,177.22/x
  3. Step 3: Cross multiply
    42,167.70x = 63,189 × 17,177.22
  4. Step 4: Simplify right side
    42,167.70x = 1,085,411,354.58
  5. Step 5: Solve for x
    x = 1,085,411,354.58/42,167.70
  6. Step 6: Final answer
    x = 25,740.35

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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.