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Finding the Fourth Proportional to 57,157.71, 85,713.10 and 17,162.72

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Solution

The fourth proportional to 57,157.71, 85,713.10 and 17,162.72 is: 25,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.71 : 85,713.10 = 17,162.72 : x
  2. Step 2: Convert to fraction form
    57,157.71/85,713.10 = 17,162.72/x
  3. Step 3: Cross multiply
    57,157.71x = 85,713.10 × 17,162.72
  4. Step 4: Simplify right side
    57,157.71x = 1,471,069,935.63
  5. Step 5: Solve for x
    x = 1,471,069,935.63/57,157.71
  6. Step 6: Final answer
    x = 25,737.03

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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.