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Finding the Fourth Proportional to 205,874.10, 308,734.35 and 81,189.30

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Solution

The fourth proportional to 205,874.10, 308,734.35 and 81,189.30 is: 121,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874.10 : 308,734.35 = 81,189.30 : x
  2. Step 2: Convert to fraction form
    205,874.10/308,734.35 = 81,189.30/x
  3. Step 3: Cross multiply
    205,874.10x = 308,734.35 × 81,189.30
  4. Step 4: Simplify right side
    205,874.10x = 25,065,925,762.46
  5. Step 5: Solve for x
    x = 25,065,925,762.46/205,874.10
  6. Step 6: Final answer
    x = 121,753.66

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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.