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Finding the Fourth Proportional to 72,712.80, 109,068.80 and 20,122.20

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Solution

The fourth proportional to 72,712.80, 109,068.80 and 20,122.20 is: 30,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.80 : 109,068.80 = 20,122.20 : x
  2. Step 2: Convert to fraction form
    72,712.80/109,068.80 = 20,122.20/x
  3. Step 3: Cross multiply
    72,712.80x = 109,068.80 × 20,122.20
  4. Step 4: Simplify right side
    72,712.80x = 2,194,704,106.75
  5. Step 5: Solve for x
    x = 2,194,704,106.75/72,712.80
  6. Step 6: Final answer
    x = 30,183.19

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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.