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Finding the Fourth Proportional to 89,781.54, 123,890.88 and 51,540.24

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Solution

The fourth proportional to 89,781.54, 123,890.88 and 51,540.24 is: 71,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,781.54 : 123,890.88 = 51,540.24 : x
  2. Step 2: Convert to fraction form
    89,781.54/123,890.88 = 51,540.24/x
  3. Step 3: Cross multiply
    89,781.54x = 123,890.88 × 51,540.24
  4. Step 4: Simplify right side
    89,781.54x = 6,385,365,689.01
  5. Step 5: Solve for x
    x = 6,385,365,689.01/89,781.54
  6. Step 6: Final answer
    x = 71,121.14

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1.5x scale

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.