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Finding the Fourth Proportional to 73,206.65, 109,809.98 and 43,657.85

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Solution

The fourth proportional to 73,206.65, 109,809.98 and 43,657.85 is: 65,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206.65 : 109,809.98 = 43,657.85 : x
  2. Step 2: Convert to fraction form
    73,206.65/109,809.98 = 43,657.85/x
  3. Step 3: Cross multiply
    73,206.65x = 109,809.98 × 43,657.85
  4. Step 4: Simplify right side
    73,206.65x = 4,794,067,417.05
  5. Step 5: Solve for x
    x = 4,794,067,417.05/73,206.65
  6. Step 6: Final answer
    x = 65,486.78

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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.