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Finding the Fourth Proportional to 105,540.80, 158,541.60 and 74,436.80

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Solution

The fourth proportional to 105,540.80, 158,541.60 and 74,436.80 is: 111,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,540.80 : 158,541.60 = 74,436.80 : x
  2. Step 2: Convert to fraction form
    105,540.80/158,541.60 = 74,436.80/x
  3. Step 3: Cross multiply
    105,540.80x = 158,541.60 × 74,436.80
  4. Step 4: Simplify right side
    105,540.80x = 11,801,329,370.88
  5. Step 5: Solve for x
    x = 11,801,329,370.88/105,540.80
  6. Step 6: Final answer
    x = 111,817.70

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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.