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Finding the Fourth Proportional to 57,761.20, 86,641.80 and 26,657.20

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Solution

The fourth proportional to 57,761.20, 86,641.80 and 26,657.20 is: 39,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,761.20 : 86,641.80 = 26,657.20 : x
  2. Step 2: Convert to fraction form
    57,761.20/86,641.80 = 26,657.20/x
  3. Step 3: Cross multiply
    57,761.20x = 86,641.80 × 26,657.20
  4. Step 4: Simplify right side
    57,761.20x = 2,309,627,790.96
  5. Step 5: Solve for x
    x = 2,309,627,790.96/57,761.20
  6. Step 6: Final answer
    x = 39,985.80

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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.