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Finding the Fourth Proportional to 129,153.56, 178,231.77 and 71,791.11

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Solution

The fourth proportional to 129,153.56, 178,231.77 and 71,791.11 is: 99,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,153.56 : 178,231.77 = 71,791.11 : x
  2. Step 2: Convert to fraction form
    129,153.56/178,231.77 = 71,791.11/x
  3. Step 3: Cross multiply
    129,153.56x = 178,231.77 × 71,791.11
  4. Step 4: Simplify right side
    129,153.56x = 12,795,456,605.56
  5. Step 5: Solve for x
    x = 12,795,456,605.56/129,153.56
  6. Step 6: Final answer
    x = 99,071.66

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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.