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Finding the Fourth Proportional to 89,706.13, 123,800.12 and 49,419.97

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Solution

The fourth proportional to 89,706.13, 123,800.12 and 49,419.97 is: 68,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706.13 : 123,800.12 = 49,419.97 : x
  2. Step 2: Convert to fraction form
    89,706.13/123,800.12 = 49,419.97/x
  3. Step 3: Cross multiply
    89,706.13x = 123,800.12 × 49,419.97
  4. Step 4: Simplify right side
    89,706.13x = 6,118,197,720.95
  5. Step 5: Solve for x
    x = 6,118,197,720.95/89,706.13
  6. Step 6: Final answer
    x = 68,202.68

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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.