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Finding the Fourth Proportional to 47,863, 71,806.08 and 15,031

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Solution

The fourth proportional to 47,863, 71,806.08 and 15,031 is: 22,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,863 : 71,806.08 = 15,031 : x
  2. Step 2: Convert to fraction form
    47,863/71,806.08 = 15,031/x
  3. Step 3: Cross multiply
    47,863x = 71,806.08 × 15,031
  4. Step 4: Simplify right side
    47,863x = 1,079,317,188.48
  5. Step 5: Solve for x
    x = 1,079,317,188.48/47,863
  6. Step 6: Final answer
    x = 22,550.14

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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.