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Finding the Fourth Proportional to 82,178.82, 123,194.52 and 29,551.50

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Solution

The fourth proportional to 82,178.82, 123,194.52 and 29,551.50 is: 44,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178.82 : 123,194.52 = 29,551.50 : x
  2. Step 2: Convert to fraction form
    82,178.82/123,194.52 = 29,551.50/x
  3. Step 3: Cross multiply
    82,178.82x = 123,194.52 × 29,551.50
  4. Step 4: Simplify right side
    82,178.82x = 3,640,582,857.78
  5. Step 5: Solve for x
    x = 3,640,582,857.78/82,178.82
  6. Step 6: Final answer
    x = 44,300.74

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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.