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Finding the Fourth Proportional to 270,686.80, 406,087.80 and 83,717.20

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Solution

The fourth proportional to 270,686.80, 406,087.80 and 83,717.20 is: 125,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,686.80 : 406,087.80 = 83,717.20 : x
  2. Step 2: Convert to fraction form
    270,686.80/406,087.80 = 83,717.20/x
  3. Step 3: Cross multiply
    270,686.80x = 406,087.80 × 83,717.20
  4. Step 4: Simplify right side
    270,686.80x = 33,996,533,570.16
  5. Step 5: Solve for x
    x = 33,996,533,570.16/270,686.80
  6. Step 6: Final answer
    x = 125,593.61

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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.