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Finding the Fourth Proportional to 47,931, 71,908.20 and 15,099

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Solution

The fourth proportional to 47,931, 71,908.20 and 15,099 is: 22,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931 : 71,908.20 = 15,099 : x
  2. Step 2: Convert to fraction form
    47,931/71,908.20 = 15,099/x
  3. Step 3: Cross multiply
    47,931x = 71,908.20 × 15,099
  4. Step 4: Simplify right side
    47,931x = 1,085,741,911.80
  5. Step 5: Solve for x
    x = 1,085,741,911.80/47,931
  6. Step 6: Final answer
    x = 22,652.19

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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.