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Finding the Fourth Proportional to 205,236.97, 307,865.82 and 78,832.90

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Solution

The fourth proportional to 205,236.97, 307,865.82 and 78,832.90 is: 118,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,236.97 : 307,865.82 = 78,832.90 : x
  2. Step 2: Convert to fraction form
    205,236.97/307,865.82 = 78,832.90/x
  3. Step 3: Cross multiply
    205,236.97x = 307,865.82 × 78,832.90
  4. Step 4: Simplify right side
    205,236.97x = 24,269,955,401.48
  5. Step 5: Solve for x
    x = 24,269,955,401.48/205,236.97
  6. Step 6: Final answer
    x = 118,253.33

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1.5x scale

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.