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Finding the Fourth Proportional to 57,471, 86,206.52 and 18,031.20

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Solution

The fourth proportional to 57,471, 86,206.52 and 18,031.20 is: 27,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471 : 86,206.52 = 18,031.20 : x
  2. Step 2: Convert to fraction form
    57,471/86,206.52 = 18,031.20/x
  3. Step 3: Cross multiply
    57,471x = 86,206.52 × 18,031.20
  4. Step 4: Simplify right side
    57,471x = 1,554,407,003.42
  5. Step 5: Solve for x
    x = 1,554,407,003.42/57,471
  6. Step 6: Final answer
    x = 27,046.81

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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.