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Finding the Fourth Proportional to 132,438, 182,764.44 and 72,822

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Solution

The fourth proportional to 132,438, 182,764.44 and 72,822 is: 100,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438 : 182,764.44 = 72,822 : x
  2. Step 2: Convert to fraction form
    132,438/182,764.44 = 72,822/x
  3. Step 3: Cross multiply
    132,438x = 182,764.44 × 72,822
  4. Step 4: Simplify right side
    132,438x = 13,309,272,049.68
  5. Step 5: Solve for x
    x = 13,309,272,049.68/132,438
  6. Step 6: Final answer
    x = 100,494.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.