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Finding the Fourth Proportional to 20,199.68, 30,264.56 and 15,766.08

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Solution

The fourth proportional to 20,199.68, 30,264.56 and 15,766.08 is: 23,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.68 : 30,264.56 = 15,766.08 : x
  2. Step 2: Convert to fraction form
    20,199.68/30,264.56 = 15,766.08/x
  3. Step 3: Cross multiply
    20,199.68x = 30,264.56 × 15,766.08
  4. Step 4: Simplify right side
    20,199.68x = 477,153,474.12
  5. Step 5: Solve for x
    x = 477,153,474.12/20,199.68
  6. Step 6: Final answer
    x = 23,621.83

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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.