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Finding the Fourth Proportional to 82,605.61, 123,908.82 and 20,276.11

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Solution

The fourth proportional to 82,605.61, 123,908.82 and 20,276.11 is: 30,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.61 : 123,908.82 = 20,276.11 : x
  2. Step 2: Convert to fraction form
    82,605.61/123,908.82 = 20,276.11/x
  3. Step 3: Cross multiply
    82,605.61x = 123,908.82 × 20,276.11
  4. Step 4: Simplify right side
    82,605.61x = 2,512,388,864.29
  5. Step 5: Solve for x
    x = 2,512,388,864.29/82,605.61
  6. Step 6: Final answer
    x = 30,414.26

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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.