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Finding the Fourth Proportional to 204,638.96, 307,000.20 and 86,310.08

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Solution

The fourth proportional to 204,638.96, 307,000.20 and 86,310.08 is: 129,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,638.96 : 307,000.20 = 86,310.08 : x
  2. Step 2: Convert to fraction form
    204,638.96/307,000.20 = 86,310.08/x
  3. Step 3: Cross multiply
    204,638.96x = 307,000.20 × 86,310.08
  4. Step 4: Simplify right side
    204,638.96x = 26,497,211,822.02
  5. Step 5: Solve for x
    x = 26,497,211,822.02/204,638.96
  6. Step 6: Final answer
    x = 129,482.73

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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.