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Finding the Fourth Proportional to 89,472.88, 123,473.16 and 49,187.44

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Solution

The fourth proportional to 89,472.88, 123,473.16 and 49,187.44 is: 67,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,472.88 : 123,473.16 = 49,187.44 : x
  2. Step 2: Convert to fraction form
    89,472.88/123,473.16 = 49,187.44/x
  3. Step 3: Cross multiply
    89,472.88x = 123,473.16 × 49,187.44
  4. Step 4: Simplify right side
    89,472.88x = 6,073,328,649.11
  5. Step 5: Solve for x
    x = 6,073,328,649.11/89,472.88
  6. Step 6: Final answer
    x = 67,878.99

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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.