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Finding the Fourth Proportional to 99,286.80, 148,930.20 and 65,461.20

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Solution

The fourth proportional to 99,286.80, 148,930.20 and 65,461.20 is: 98,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,286.80 : 148,930.20 = 65,461.20 : x
  2. Step 2: Convert to fraction form
    99,286.80/148,930.20 = 65,461.20/x
  3. Step 3: Cross multiply
    99,286.80x = 148,930.20 × 65,461.20
  4. Step 4: Simplify right side
    99,286.80x = 9,749,149,608.24
  5. Step 5: Solve for x
    x = 9,749,149,608.24/99,286.80
  6. Step 6: Final answer
    x = 98,191.80

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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.