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Finding the Fourth Proportional to 99,713.38, 149,739.36 and 66,645.94

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Solution

The fourth proportional to 99,713.38, 149,739.36 and 66,645.94 is: 100,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713.38 : 149,739.36 = 66,645.94 : x
  2. Step 2: Convert to fraction form
    99,713.38/149,739.36 = 66,645.94/x
  3. Step 3: Cross multiply
    99,713.38x = 149,739.36 × 66,645.94
  4. Step 4: Simplify right side
    99,713.38x = 9,979,520,402.20
  5. Step 5: Solve for x
    x = 9,979,520,402.20/99,713.38
  6. Step 6: Final answer
    x = 100,082.06

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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.