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Finding the Fourth Proportional to 106,489.47, 159,687.60 and 39,882.90

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Solution

The fourth proportional to 106,489.47, 159,687.60 and 39,882.90 is: 59,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.47 : 159,687.60 = 39,882.90 : x
  2. Step 2: Convert to fraction form
    106,489.47/159,687.60 = 39,882.90/x
  3. Step 3: Cross multiply
    106,489.47x = 159,687.60 × 39,882.90
  4. Step 4: Simplify right side
    106,489.47x = 6,368,804,582.04
  5. Step 5: Solve for x
    x = 6,368,804,582.04/106,489.47
  6. Step 6: Final answer
    x = 59,806.90

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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.