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Finding the Fourth Proportional to 107,711.76, 161,589.50 and 45,382.26

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Solution

The fourth proportional to 107,711.76, 161,589.50 and 45,382.26 is: 68,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,711.76 : 161,589.50 = 45,382.26 : x
  2. Step 2: Convert to fraction form
    107,711.76/161,589.50 = 45,382.26/x
  3. Step 3: Cross multiply
    107,711.76x = 161,589.50 × 45,382.26
  4. Step 4: Simplify right side
    107,711.76x = 7,333,296,702.27
  5. Step 5: Solve for x
    x = 7,333,296,702.27/107,711.76
  6. Step 6: Final answer
    x = 68,082.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.