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Finding the Fourth Proportional to 106,861.92, 147,470.88 and 66,591.96

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Solution

The fourth proportional to 106,861.92, 147,470.88 and 66,591.96 is: 91,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,861.92 : 147,470.88 = 66,591.96 : x
  2. Step 2: Convert to fraction form
    106,861.92/147,470.88 = 66,591.96/x
  3. Step 3: Cross multiply
    106,861.92x = 147,470.88 × 66,591.96
  4. Step 4: Simplify right side
    106,861.92x = 9,820,374,942.12
  5. Step 5: Solve for x
    x = 9,820,374,942.12/106,861.92
  6. Step 6: Final answer
    x = 91,897.80

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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.