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Finding the Fourth Proportional to 270,761.31, 406,204.25 and 90,870.60

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Solution

The fourth proportional to 270,761.31, 406,204.25 and 90,870.60 is: 136,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,761.31 : 406,204.25 = 90,870.60 : x
  2. Step 2: Convert to fraction form
    270,761.31/406,204.25 = 90,870.60/x
  3. Step 3: Cross multiply
    270,761.31x = 406,204.25 × 90,870.60
  4. Step 4: Simplify right side
    270,761.31x = 36,912,023,465.70
  5. Step 5: Solve for x
    x = 36,912,023,465.70/270,761.31
  6. Step 6: Final answer
    x = 136,326.80

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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.