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Finding the Fourth Proportional to 99,806.59, 137,756.25 and 65,821.21

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Solution

The fourth proportional to 99,806.59, 137,756.25 and 65,821.21 is: 90,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.59 : 137,756.25 = 65,821.21 : x
  2. Step 2: Convert to fraction form
    99,806.59/137,756.25 = 65,821.21/x
  3. Step 3: Cross multiply
    99,806.59x = 137,756.25 × 65,821.21
  4. Step 4: Simplify right side
    99,806.59x = 9,067,283,060.06
  5. Step 5: Solve for x
    x = 9,067,283,060.06/99,806.59
  6. Step 6: Final answer
    x = 90,848.54

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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.