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Finding the Fourth Proportional to 57,781.80, 86,672.70 and 32,812.20

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Solution

The fourth proportional to 57,781.80, 86,672.70 and 32,812.20 is: 49,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.80 : 86,672.70 = 32,812.20 : x
  2. Step 2: Convert to fraction form
    57,781.80/86,672.70 = 32,812.20/x
  3. Step 3: Cross multiply
    57,781.80x = 86,672.70 × 32,812.20
  4. Step 4: Simplify right side
    57,781.80x = 2,843,921,966.94
  5. Step 5: Solve for x
    x = 2,843,921,966.94/57,781.80
  6. Step 6: Final answer
    x = 49,218.30

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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.