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Finding the Fourth Proportional to 50,691.80, 75,984.24 and 21,079.82

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Solution

The fourth proportional to 50,691.80, 75,984.24 and 21,079.82 is: 31,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,691.80 : 75,984.24 = 21,079.82 : x
  2. Step 2: Convert to fraction form
    50,691.80/75,984.24 = 21,079.82/x
  3. Step 3: Cross multiply
    50,691.80x = 75,984.24 × 21,079.82
  4. Step 4: Simplify right side
    50,691.80x = 1,601,734,102.04
  5. Step 5: Solve for x
    x = 1,601,734,102.04/50,691.80
  6. Step 6: Final answer
    x = 31,597.50

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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.