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Finding the Fourth Proportional to 200,722.86, 301,084.29 and 80,835.17

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Solution

The fourth proportional to 200,722.86, 301,084.29 and 80,835.17 is: 121,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.86 : 301,084.29 = 80,835.17 : x
  2. Step 2: Convert to fraction form
    200,722.86/301,084.29 = 80,835.17/x
  3. Step 3: Cross multiply
    200,722.86x = 301,084.29 × 80,835.17
  4. Step 4: Simplify right side
    200,722.86x = 24,338,198,261.06
  5. Step 5: Solve for x
    x = 24,338,198,261.06/200,722.86
  6. Step 6: Final answer
    x = 121,252.75

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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.