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Finding the Fourth Proportional to 205,282.08, 307,861.92 and 86,951.52

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Solution

The fourth proportional to 205,282.08, 307,861.92 and 86,951.52 is: 130,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,282.08 : 307,861.92 = 86,951.52 : x
  2. Step 2: Convert to fraction form
    205,282.08/307,861.92 = 86,951.52/x
  3. Step 3: Cross multiply
    205,282.08x = 307,861.92 × 86,951.52
  4. Step 4: Simplify right side
    205,282.08x = 26,769,061,894.12
  5. Step 5: Solve for x
    x = 26,769,061,894.12/205,282.08
  6. Step 6: Final answer
    x = 130,401.36

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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.