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Finding the Fourth Proportional to 204,912.80, 307,412.40 and 86,523.20

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Solution

The fourth proportional to 204,912.80, 307,412.40 and 86,523.20 is: 129,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,912.80 : 307,412.40 = 86,523.20 : x
  2. Step 2: Convert to fraction form
    204,912.80/307,412.40 = 86,523.20/x
  3. Step 3: Cross multiply
    204,912.80x = 307,412.40 × 86,523.20
  4. Step 4: Simplify right side
    204,912.80x = 26,598,304,567.68
  5. Step 5: Solve for x
    x = 26,598,304,567.68/204,912.80
  6. Step 6: Final answer
    x = 129,803.04

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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.