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Finding the Fourth Proportional to 270,687.80, 406,089.30 and 83,718.20

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Solution

The fourth proportional to 270,687.80, 406,089.30 and 83,718.20 is: 125,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,687.80 : 406,089.30 = 83,718.20 : x
  2. Step 2: Convert to fraction form
    270,687.80/406,089.30 = 83,718.20/x
  3. Step 3: Cross multiply
    270,687.80x = 406,089.30 × 83,718.20
  4. Step 4: Simplify right side
    270,687.80x = 33,997,065,235.26
  5. Step 5: Solve for x
    x = 33,997,065,235.26/270,687.80
  6. Step 6: Final answer
    x = 125,595.11

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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.