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Finding the Fourth Proportional to 71,499.70, 107,286 and 29,412.10

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Solution

The fourth proportional to 71,499.70, 107,286 and 29,412.10 is: 44,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,499.70 : 107,286 = 29,412.10 : x
  2. Step 2: Convert to fraction form
    71,499.70/107,286 = 29,412.10/x
  3. Step 3: Cross multiply
    71,499.70x = 107,286 × 29,412.10
  4. Step 4: Simplify right side
    71,499.70x = 3,155,506,560.60
  5. Step 5: Solve for x
    x = 3,155,506,560.60/71,499.70
  6. Step 6: Final answer
    x = 44,133.14

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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.