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Finding the Fourth Proportional to 89,459.86, 123,456 and 49,175.32

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Solution

The fourth proportional to 89,459.86, 123,456 and 49,175.32 is: 67,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,459.86 : 123,456 = 49,175.32 : x
  2. Step 2: Convert to fraction form
    89,459.86/123,456 = 49,175.32/x
  3. Step 3: Cross multiply
    89,459.86x = 123,456 × 49,175.32
  4. Step 4: Simplify right side
    89,459.86x = 6,070,988,305.92
  5. Step 5: Solve for x
    x = 6,070,988,305.92/89,459.86
  6. Step 6: Final answer
    x = 67,862.71

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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.