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Finding the Fourth Proportional to 71,243.97, 106,902.41 and 29,155.16

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Solution

The fourth proportional to 71,243.97, 106,902.41 and 29,155.16 is: 43,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,243.97 : 106,902.41 = 29,155.16 : x
  2. Step 2: Convert to fraction form
    71,243.97/106,902.41 = 29,155.16/x
  3. Step 3: Cross multiply
    71,243.97x = 106,902.41 × 29,155.16
  4. Step 4: Simplify right side
    71,243.97x = 3,116,756,187.65
  5. Step 5: Solve for x
    x = 3,116,756,187.65/71,243.97
  6. Step 6: Final answer
    x = 43,747.65

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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.