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Finding the Fourth Proportional to 57,425.64, 86,163.12 and 19,965.30

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Solution

The fourth proportional to 57,425.64, 86,163.12 and 19,965.30 is: 29,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,425.64 : 86,163.12 = 19,965.30 : x
  2. Step 2: Convert to fraction form
    57,425.64/86,163.12 = 19,965.30/x
  3. Step 3: Cross multiply
    57,425.64x = 86,163.12 × 19,965.30
  4. Step 4: Simplify right side
    57,425.64x = 1,720,272,539.74
  5. Step 5: Solve for x
    x = 1,720,272,539.74/57,425.64
  6. Step 6: Final answer
    x = 29,956.52

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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.