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Finding the Fourth Proportional to 178,072.70, 267,159.11 and 71,531.46

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Solution

The fourth proportional to 178,072.70, 267,159.11 and 71,531.46 is: 107,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,072.70 : 267,159.11 = 71,531.46 : x
  2. Step 2: Convert to fraction form
    178,072.70/267,159.11 = 71,531.46/x
  3. Step 3: Cross multiply
    178,072.70x = 267,159.11 × 71,531.46
  4. Step 4: Simplify right side
    178,072.70x = 19,110,280,832.94
  5. Step 5: Solve for x
    x = 19,110,280,832.94/178,072.70
  6. Step 6: Final answer
    x = 107,317.30

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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.