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Finding the Fourth Proportional to 204,801.80, 307,245.90 and 86,412.20

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Solution

The fourth proportional to 204,801.80, 307,245.90 and 86,412.20 is: 129,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,801.80 : 307,245.90 = 86,412.20 : x
  2. Step 2: Convert to fraction form
    204,801.80/307,245.90 = 86,412.20/x
  3. Step 3: Cross multiply
    204,801.80x = 307,245.90 × 86,412.20
  4. Step 4: Simplify right side
    204,801.80x = 26,549,794,159.98
  5. Step 5: Solve for x
    x = 26,549,794,159.98/204,801.80
  6. Step 6: Final answer
    x = 129,636.53

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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.