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Finding the Fourth Proportional to 270,877.52, 406,373.52 and 81,331.04

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Solution

The fourth proportional to 270,877.52, 406,373.52 and 81,331.04 is: 122,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,877.52 : 406,373.52 = 81,331.04 : x
  2. Step 2: Convert to fraction form
    270,877.52/406,373.52 = 81,331.04/x
  3. Step 3: Cross multiply
    270,877.52x = 406,373.52 × 81,331.04
  4. Step 4: Simplify right side
    270,877.52x = 33,050,781,010.06
  5. Step 5: Solve for x
    x = 33,050,781,010.06/270,877.52
  6. Step 6: Final answer
    x = 122,013.75

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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.