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Finding the Fourth Proportional to 89,440, 123,375.84 and 55,847.68

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Solution

The fourth proportional to 89,440, 123,375.84 and 55,847.68 is: 77,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,440 : 123,375.84 = 55,847.68 : x
  2. Step 2: Convert to fraction form
    89,440/123,375.84 = 55,847.68/x
  3. Step 3: Cross multiply
    89,440x = 123,375.84 × 55,847.68
  4. Step 4: Simplify right side
    89,440x = 6,890,254,432.05
  5. Step 5: Solve for x
    x = 6,890,254,432.05/89,440
  6. Step 6: Final answer
    x = 77,037.73

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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.