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Finding the Fourth Proportional to 72,708.76, 109,065.57 and 20,113.84

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Solution

The fourth proportional to 72,708.76, 109,065.57 and 20,113.84 is: 30,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,708.76 : 109,065.57 = 20,113.84 : x
  2. Step 2: Convert to fraction form
    72,708.76/109,065.57 = 20,113.84/x
  3. Step 3: Cross multiply
    72,708.76x = 109,065.57 × 20,113.84
  4. Step 4: Simplify right side
    72,708.76x = 2,193,727,772.58
  5. Step 5: Solve for x
    x = 2,193,727,772.58/72,708.76
  6. Step 6: Final answer
    x = 30,171.44

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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.