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Finding the Fourth Proportional to 272,087.22, 408,065.25 and 85,098.78

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Solution

The fourth proportional to 272,087.22, 408,065.25 and 85,098.78 is: 127,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,087.22 : 408,065.25 = 85,098.78 : x
  2. Step 2: Convert to fraction form
    272,087.22/408,065.25 = 85,098.78/x
  3. Step 3: Cross multiply
    272,087.22x = 408,065.25 × 85,098.78
  4. Step 4: Simplify right side
    272,087.22x = 34,725,854,935.40
  5. Step 5: Solve for x
    x = 34,725,854,935.40/272,087.22
  6. Step 6: Final answer
    x = 127,627.66

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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.