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Finding the Fourth Proportional to 133,046.40, 199,861.20 and 98,209.92

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Solution

The fourth proportional to 133,046.40, 199,861.20 and 98,209.92 is: 147,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046.40 : 199,861.20 = 98,209.92 : x
  2. Step 2: Convert to fraction form
    133,046.40/199,861.20 = 98,209.92/x
  3. Step 3: Cross multiply
    133,046.40x = 199,861.20 × 98,209.92
  4. Step 4: Simplify right side
    133,046.40x = 19,628,352,463.10
  5. Step 5: Solve for x
    x = 19,628,352,463.10/133,046.40
  6. Step 6: Final answer
    x = 147,530.13

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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.