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Finding the Fourth Proportional to 57,407.68, 86,121.12 and 17,956.96

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Solution

The fourth proportional to 57,407.68, 86,121.12 and 17,956.96 is: 26,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,407.68 : 86,121.12 = 17,956.96 : x
  2. Step 2: Convert to fraction form
    57,407.68/86,121.12 = 17,956.96/x
  3. Step 3: Cross multiply
    57,407.68x = 86,121.12 × 17,956.96
  4. Step 4: Simplify right side
    57,407.68x = 1,546,473,507.00
  5. Step 5: Solve for x
    x = 1,546,473,507.00/57,407.68
  6. Step 6: Final answer
    x = 26,938.44

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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.