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Finding the Fourth Proportional to 71,416.40, 107,081.40 and 31,966.16

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Solution

The fourth proportional to 71,416.40, 107,081.40 and 31,966.16 is: 47,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,416.40 : 107,081.40 = 31,966.16 : x
  2. Step 2: Convert to fraction form
    71,416.40/107,081.40 = 31,966.16/x
  3. Step 3: Cross multiply
    71,416.40x = 107,081.40 × 31,966.16
  4. Step 4: Simplify right side
    71,416.40x = 3,422,981,165.42
  5. Step 5: Solve for x
    x = 3,422,981,165.42/71,416.40
  6. Step 6: Final answer
    x = 47,929.90

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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.