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Finding the Fourth Proportional to 67,728.18, 101,654.62 and 34,472

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Solution

The fourth proportional to 67,728.18, 101,654.62 and 34,472 is: 51,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,728.18 : 101,654.62 = 34,472 : x
  2. Step 2: Convert to fraction form
    67,728.18/101,654.62 = 34,472/x
  3. Step 3: Cross multiply
    67,728.18x = 101,654.62 × 34,472
  4. Step 4: Simplify right side
    67,728.18x = 3,504,238,060.64
  5. Step 5: Solve for x
    x = 3,504,238,060.64/67,728.18
  6. Step 6: Final answer
    x = 51,739.73

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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.