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Finding the Fourth Proportional to 72,035.78, 108,049.76 and 22,115.88

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Solution

The fourth proportional to 72,035.78, 108,049.76 and 22,115.88 is: 33,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,035.78 : 108,049.76 = 22,115.88 : x
  2. Step 2: Convert to fraction form
    72,035.78/108,049.76 = 22,115.88/x
  3. Step 3: Cross multiply
    72,035.78x = 108,049.76 × 22,115.88
  4. Step 4: Simplify right side
    72,035.78x = 2,389,615,526.19
  5. Step 5: Solve for x
    x = 2,389,615,526.19/72,035.78
  6. Step 6: Final answer
    x = 33,172.62

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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.