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Finding the Fourth Proportional to 99,806.09, 137,755.56 and 65,820.71

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Solution

The fourth proportional to 99,806.09, 137,755.56 and 65,820.71 is: 90,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.09 : 137,755.56 = 65,820.71 : x
  2. Step 2: Convert to fraction form
    99,806.09/137,755.56 = 65,820.71/x
  3. Step 3: Cross multiply
    99,806.09x = 137,755.56 × 65,820.71
  4. Step 4: Simplify right side
    99,806.09x = 9,067,168,765.65
  5. Step 5: Solve for x
    x = 9,067,168,765.65/99,806.09
  6. Step 6: Final answer
    x = 90,847.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.