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Finding the Fourth Proportional to 47,865.35, 66,049.42 and 27,728.72

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Solution

The fourth proportional to 47,865.35, 66,049.42 and 27,728.72 is: 38,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,865.35 : 66,049.42 = 27,728.72 : x
  2. Step 2: Convert to fraction form
    47,865.35/66,049.42 = 27,728.72/x
  3. Step 3: Cross multiply
    47,865.35x = 66,049.42 × 27,728.72
  4. Step 4: Simplify right side
    47,865.35x = 1,831,465,873.34
  5. Step 5: Solve for x
    x = 1,831,465,873.34/47,865.35
  6. Step 6: Final answer
    x = 38,262.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.