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Finding the Fourth Proportional to 82,145.52, 123,218.28 and 32,249.12

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Solution

The fourth proportional to 82,145.52, 123,218.28 and 32,249.12 is: 48,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,145.52 : 123,218.28 = 32,249.12 : x
  2. Step 2: Convert to fraction form
    82,145.52/123,218.28 = 32,249.12/x
  3. Step 3: Cross multiply
    82,145.52x = 123,218.28 × 32,249.12
  4. Step 4: Simplify right side
    82,145.52x = 3,973,681,097.91
  5. Step 5: Solve for x
    x = 3,973,681,097.91/82,145.52
  6. Step 6: Final answer
    x = 48,373.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.