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Finding the Fourth Proportional to 89,765.49, 123,877.20 and 49,480.80

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Solution

The fourth proportional to 89,765.49, 123,877.20 and 49,480.80 is: 68,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,765.49 : 123,877.20 = 49,480.80 : x
  2. Step 2: Convert to fraction form
    89,765.49/123,877.20 = 49,480.80/x
  3. Step 3: Cross multiply
    89,765.49x = 123,877.20 × 49,480.80
  4. Step 4: Simplify right side
    89,765.49x = 6,129,542,957.76
  5. Step 5: Solve for x
    x = 6,129,542,957.76/89,765.49
  6. Step 6: Final answer
    x = 68,283.96

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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.