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Finding the Fourth Proportional to 89,780.62, 123,894.86 and 49,494.54

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Solution

The fourth proportional to 89,780.62, 123,894.86 and 49,494.54 is: 68,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,780.62 : 123,894.86 = 49,494.54 : x
  2. Step 2: Convert to fraction form
    89,780.62/123,894.86 = 49,494.54/x
  3. Step 3: Cross multiply
    89,780.62x = 123,894.86 × 49,494.54
  4. Step 4: Simplify right side
    89,780.62x = 6,132,119,104.06
  5. Step 5: Solve for x
    x = 6,132,119,104.06/89,780.62
  6. Step 6: Final answer
    x = 68,301.14

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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.