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Finding the Fourth Proportional to 71,695.86, 107,543.55 and 18,387.78

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Solution

The fourth proportional to 71,695.86, 107,543.55 and 18,387.78 is: 27,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.86 : 107,543.55 = 18,387.78 : x
  2. Step 2: Convert to fraction form
    71,695.86/107,543.55 = 18,387.78/x
  3. Step 3: Cross multiply
    71,695.86x = 107,543.55 × 18,387.78
  4. Step 4: Simplify right side
    71,695.86x = 1,977,487,137.82
  5. Step 5: Solve for x
    x = 1,977,487,137.82/71,695.86
  6. Step 6: Final answer
    x = 27,581.61

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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.