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Finding the Fourth Proportional to 91,209.12, 137,021.28 and 65,986.44

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Solution

The fourth proportional to 91,209.12, 137,021.28 and 65,986.44 is: 99,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,209.12 : 137,021.28 = 65,986.44 : x
  2. Step 2: Convert to fraction form
    91,209.12/137,021.28 = 65,986.44/x
  3. Step 3: Cross multiply
    91,209.12x = 137,021.28 × 65,986.44
  4. Step 4: Simplify right side
    91,209.12x = 9,041,546,471.44
  5. Step 5: Solve for x
    x = 9,041,546,471.44/91,209.12
  6. Step 6: Final answer
    x = 99,129.85

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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.