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Finding the Fourth Proportional to 72,718.41, 109,080 and 20,123.49

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Solution

The fourth proportional to 72,718.41, 109,080 and 20,123.49 is: 30,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,718.41 : 109,080 = 20,123.49 : x
  2. Step 2: Convert to fraction form
    72,718.41/109,080 = 20,123.49/x
  3. Step 3: Cross multiply
    72,718.41x = 109,080 × 20,123.49
  4. Step 4: Simplify right side
    72,718.41x = 2,195,070,289.20
  5. Step 5: Solve for x
    x = 2,195,070,289.20/72,718.41
  6. Step 6: Final answer
    x = 30,185.90

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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.