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Finding the Fourth Proportional to 178,079.88, 267,146.28 and 51,721.20

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Solution

The fourth proportional to 178,079.88, 267,146.28 and 51,721.20 is: 77,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,079.88 : 267,146.28 = 51,721.20 : x
  2. Step 2: Convert to fraction form
    178,079.88/267,146.28 = 51,721.20/x
  3. Step 3: Cross multiply
    178,079.88x = 267,146.28 × 51,721.20
  4. Step 4: Simplify right side
    178,079.88x = 13,817,126,177.14
  5. Step 5: Solve for x
    x = 13,817,126,177.14/178,079.88
  6. Step 6: Final answer
    x = 77,589.48

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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.