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Finding the Fourth Proportional to 57,686.64, 86,534.82 and 18,242.88

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Solution

The fourth proportional to 57,686.64, 86,534.82 and 18,242.88 is: 27,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,686.64 : 86,534.82 = 18,242.88 : x
  2. Step 2: Convert to fraction form
    57,686.64/86,534.82 = 18,242.88/x
  3. Step 3: Cross multiply
    57,686.64x = 86,534.82 × 18,242.88
  4. Step 4: Simplify right side
    57,686.64x = 1,578,644,337.08
  5. Step 5: Solve for x
    x = 1,578,644,337.08/57,686.64
  6. Step 6: Final answer
    x = 27,365.86

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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.