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Finding the Fourth Proportional to 89,839.44, 123,978.20 and 51,601.50

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Solution

The fourth proportional to 89,839.44, 123,978.20 and 51,601.50 is: 71,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,839.44 : 123,978.20 = 51,601.50 : x
  2. Step 2: Convert to fraction form
    89,839.44/123,978.20 = 51,601.50/x
  3. Step 3: Cross multiply
    89,839.44x = 123,978.20 × 51,601.50
  4. Step 4: Simplify right side
    89,839.44x = 6,397,460,829.29
  5. Step 5: Solve for x
    x = 6,397,460,829.29/89,839.44
  6. Step 6: Final answer
    x = 71,209.94

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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.