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Finding the Fourth Proportional to 99,758.52, 149,478.48 and 69,829.56

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Solution

The fourth proportional to 99,758.52, 149,478.48 and 69,829.56 is: 104,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,758.52 : 149,478.48 = 69,829.56 : x
  2. Step 2: Convert to fraction form
    99,758.52/149,478.48 = 69,829.56/x
  3. Step 3: Cross multiply
    99,758.52x = 149,478.48 × 69,829.56
  4. Step 4: Simplify right side
    99,758.52x = 10,438,016,487.87
  5. Step 5: Solve for x
    x = 10,438,016,487.87/99,758.52
  6. Step 6: Final answer
    x = 104,632.83

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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.