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Finding the Fourth Proportional to 20,124.40, 30,191.40 and 10,265.20

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Solution

The fourth proportional to 20,124.40, 30,191.40 and 10,265.20 is: 15,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.40 : 30,191.40 = 10,265.20 : x
  2. Step 2: Convert to fraction form
    20,124.40/30,191.40 = 10,265.20/x
  3. Step 3: Cross multiply
    20,124.40x = 30,191.40 × 10,265.20
  4. Step 4: Simplify right side
    20,124.40x = 309,920,759.28
  5. Step 5: Solve for x
    x = 309,920,759.28/20,124.40
  6. Step 6: Final answer
    x = 15,400.25

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1.5x scale

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.