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Finding the Fourth Proportional to 71,433.65, 107,142.95 and 29,318.18

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Solution

The fourth proportional to 71,433.65, 107,142.95 and 29,318.18 is: 43,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,433.65 : 107,142.95 = 29,318.18 : x
  2. Step 2: Convert to fraction form
    71,433.65/107,142.95 = 29,318.18/x
  3. Step 3: Cross multiply
    71,433.65x = 107,142.95 × 29,318.18
  4. Step 4: Simplify right side
    71,433.65x = 3,141,236,132.75
  5. Step 5: Solve for x
    x = 3,141,236,132.75/71,433.65
  6. Step 6: Final answer
    x = 43,974.18

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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.