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Finding the Fourth Proportional to 99,805.84, 137,755.22 and 65,820.46

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Solution

The fourth proportional to 99,805.84, 137,755.22 and 65,820.46 is: 90,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,805.84 : 137,755.22 = 65,820.46 : x
  2. Step 2: Convert to fraction form
    99,805.84/137,755.22 = 65,820.46/x
  3. Step 3: Cross multiply
    99,805.84x = 137,755.22 × 65,820.46
  4. Step 4: Simplify right side
    99,805.84x = 9,067,111,947.80
  5. Step 5: Solve for x
    x = 9,067,111,947.80/99,805.84
  6. Step 6: Final answer
    x = 90,847.51

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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.