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Finding the Fourth Proportional to 57,716.38, 86,415.12 and 29,575.84

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Solution

The fourth proportional to 57,716.38, 86,415.12 and 29,575.84 is: 44,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.38 : 86,415.12 = 29,575.84 : x
  2. Step 2: Convert to fraction form
    57,716.38/86,415.12 = 29,575.84/x
  3. Step 3: Cross multiply
    57,716.38x = 86,415.12 × 29,575.84
  4. Step 4: Simplify right side
    57,716.38x = 2,555,799,762.70
  5. Step 5: Solve for x
    x = 2,555,799,762.70/57,716.38
  6. Step 6: Final answer
    x = 44,282.05

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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.