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Finding the Fourth Proportional to 99,768.80, 149,221.20 and 89,314.40

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Solution

The fourth proportional to 99,768.80, 149,221.20 and 89,314.40 is: 133,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,768.80 : 149,221.20 = 89,314.40 : x
  2. Step 2: Convert to fraction form
    99,768.80/149,221.20 = 89,314.40/x
  3. Step 3: Cross multiply
    99,768.80x = 149,221.20 × 89,314.40
  4. Step 4: Simplify right side
    99,768.80x = 13,327,601,945.28
  5. Step 5: Solve for x
    x = 13,327,601,945.28/99,768.80
  6. Step 6: Final answer
    x = 133,584.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.