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Finding the Fourth Proportional to 57,857.80, 86,721.90 and 32,909.80

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Solution

The fourth proportional to 57,857.80, 86,721.90 and 32,909.80 is: 49,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,857.80 : 86,721.90 = 32,909.80 : x
  2. Step 2: Convert to fraction form
    57,857.80/86,721.90 = 32,909.80/x
  3. Step 3: Cross multiply
    57,857.80x = 86,721.90 × 32,909.80
  4. Step 4: Simplify right side
    57,857.80x = 2,854,000,384.62
  5. Step 5: Solve for x
    x = 2,854,000,384.62/57,857.80
  6. Step 6: Final answer
    x = 49,327.84

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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.