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Finding the Fourth Proportional to 91,382.80, 137,047.92 and 35,218.48

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Solution

The fourth proportional to 91,382.80, 137,047.92 and 35,218.48 is: 52,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,382.80 : 137,047.92 = 35,218.48 : x
  2. Step 2: Convert to fraction form
    91,382.80/137,047.92 = 35,218.48/x
  3. Step 3: Cross multiply
    91,382.80x = 137,047.92 × 35,218.48
  4. Step 4: Simplify right side
    91,382.80x = 4,826,619,429.56
  5. Step 5: Solve for x
    x = 4,826,619,429.56/91,382.80
  6. Step 6: Final answer
    x = 52,817.59

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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.