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Finding the Fourth Proportional to 99,760.70, 149,446.65 and 60,200.30

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Solution

The fourth proportional to 99,760.70, 149,446.65 and 60,200.30 is: 90,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,760.70 : 149,446.65 = 60,200.30 : x
  2. Step 2: Convert to fraction form
    99,760.70/149,446.65 = 60,200.30/x
  3. Step 3: Cross multiply
    99,760.70x = 149,446.65 × 60,200.30
  4. Step 4: Simplify right side
    99,760.70x = 8,996,733,164.00
  5. Step 5: Solve for x
    x = 8,996,733,164.00/99,760.70
  6. Step 6: Final answer
    x = 90,183.14

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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.