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Finding the Fourth Proportional to 47,231.88, 65,178.72 and 25,721.20

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Solution

The fourth proportional to 47,231.88, 65,178.72 and 25,721.20 is: 35,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,231.88 : 65,178.72 = 25,721.20 : x
  2. Step 2: Convert to fraction form
    47,231.88/65,178.72 = 25,721.20/x
  3. Step 3: Cross multiply
    47,231.88x = 65,178.72 × 25,721.20
  4. Step 4: Simplify right side
    47,231.88x = 1,676,474,631.27
  5. Step 5: Solve for x
    x = 1,676,474,631.27/47,231.88
  6. Step 6: Final answer
    x = 35,494.56

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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.