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Finding the Fourth Proportional to 72,081.44, 108,114.40 and 34,121.60

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Solution

The fourth proportional to 72,081.44, 108,114.40 and 34,121.60 is: 51,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,081.44 : 108,114.40 = 34,121.60 : x
  2. Step 2: Convert to fraction form
    72,081.44/108,114.40 = 34,121.60/x
  3. Step 3: Cross multiply
    72,081.44x = 108,114.40 × 34,121.60
  4. Step 4: Simplify right side
    72,081.44x = 3,689,036,311.04
  5. Step 5: Solve for x
    x = 3,689,036,311.04/72,081.44
  6. Step 6: Final answer
    x = 51,178.73

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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.