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Finding the Fourth Proportional to 205,381.48, 307,890.30 and 80,693.80

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Solution

The fourth proportional to 205,381.48, 307,890.30 and 80,693.80 is: 120,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,381.48 : 307,890.30 = 80,693.80 : x
  2. Step 2: Convert to fraction form
    205,381.48/307,890.30 = 80,693.80/x
  3. Step 3: Cross multiply
    205,381.48x = 307,890.30 × 80,693.80
  4. Step 4: Simplify right side
    205,381.48x = 24,844,838,290.14
  5. Step 5: Solve for x
    x = 24,844,838,290.14/205,381.48
  6. Step 6: Final answer
    x = 120,969.22

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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.