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Finding the Fourth Proportional to 99,309.80, 148,964.70 and 89,468.30

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Solution

The fourth proportional to 99,309.80, 148,964.70 and 89,468.30 is: 134,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,309.80 : 148,964.70 = 89,468.30 : x
  2. Step 2: Convert to fraction form
    99,309.80/148,964.70 = 89,468.30/x
  3. Step 3: Cross multiply
    99,309.80x = 148,964.70 × 89,468.30
  4. Step 4: Simplify right side
    99,309.80x = 13,327,618,469.01
  5. Step 5: Solve for x
    x = 13,327,618,469.01/99,309.80
  6. Step 6: Final answer
    x = 134,202.45

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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.