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Finding the Fourth Proportional to 123,473.97, 185,464.08 and 81,414.72

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Solution

The fourth proportional to 123,473.97, 185,464.08 and 81,414.72 is: 122,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,473.97 : 185,464.08 = 81,414.72 : x
  2. Step 2: Convert to fraction form
    123,473.97/185,464.08 = 81,414.72/x
  3. Step 3: Cross multiply
    123,473.97x = 185,464.08 × 81,414.72
  4. Step 4: Simplify right side
    123,473.97x = 15,099,506,143.26
  5. Step 5: Solve for x
    x = 15,099,506,143.26/123,473.97
  6. Step 6: Final answer
    x = 122,288.98

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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.