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Finding the Fourth Proportional to 89,805.66, 123,929.10 and 49,519.41

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Solution

The fourth proportional to 89,805.66, 123,929.10 and 49,519.41 is: 68,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,805.66 : 123,929.10 = 49,519.41 : x
  2. Step 2: Convert to fraction form
    89,805.66/123,929.10 = 49,519.41/x
  3. Step 3: Cross multiply
    89,805.66x = 123,929.10 × 49,519.41
  4. Step 4: Simplify right side
    89,805.66x = 6,136,895,913.83
  5. Step 5: Solve for x
    x = 6,136,895,913.83/89,805.66
  6. Step 6: Final answer
    x = 68,335.29

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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.