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Finding the Fourth Proportional to 69,775, 96,292.02 and 39,972.76

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Solution

The fourth proportional to 69,775, 96,292.02 and 39,972.76 is: 55,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,775 : 96,292.02 = 39,972.76 : x
  2. Step 2: Convert to fraction form
    69,775/96,292.02 = 39,972.76/x
  3. Step 3: Cross multiply
    69,775x = 96,292.02 × 39,972.76
  4. Step 4: Simplify right side
    69,775x = 3,849,057,805.38
  5. Step 5: Solve for x
    x = 3,849,057,805.38/69,775
  6. Step 6: Final answer
    x = 55,163.85

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.