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Finding the Fourth Proportional to 131,722.78, 181,775.86 and 71,292

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Solution

The fourth proportional to 131,722.78, 181,775.86 and 71,292 is: 98,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,722.78 : 181,775.86 = 71,292 : x
  2. Step 2: Convert to fraction form
    131,722.78/181,775.86 = 71,292/x
  3. Step 3: Cross multiply
    131,722.78x = 181,775.86 × 71,292
  4. Step 4: Simplify right side
    131,722.78x = 12,959,164,611.12
  5. Step 5: Solve for x
    x = 12,959,164,611.12/131,722.78
  6. Step 6: Final answer
    x = 98,382.11

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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.