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Finding the Fourth Proportional to 57,711.76, 86,566.56 and 18,271.24

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Solution

The fourth proportional to 57,711.76, 86,566.56 and 18,271.24 is: 27,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,711.76 : 86,566.56 = 18,271.24 : x
  2. Step 2: Convert to fraction form
    57,711.76/86,566.56 = 18,271.24/x
  3. Step 3: Cross multiply
    57,711.76x = 86,566.56 × 18,271.24
  4. Step 4: Simplify right side
    57,711.76x = 1,581,678,393.73
  5. Step 5: Solve for x
    x = 1,581,678,393.73/57,711.76
  6. Step 6: Final answer
    x = 27,406.52

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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.