Home / 20,147.26-30,224-10,281.20

Finding the Fourth Proportional to 20,147.26, 30,224 and 10,281.20

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Solution

The fourth proportional to 20,147.26, 30,224 and 10,281.20 is: 15,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.26 : 30,224 = 10,281.20 : x
  2. Step 2: Convert to fraction form
    20,147.26/30,224 = 10,281.20/x
  3. Step 3: Cross multiply
    20,147.26x = 30,224 × 10,281.20
  4. Step 4: Simplify right side
    20,147.26x = 310,738,988.80
  5. Step 5: Solve for x
    x = 310,738,988.80/20,147.26
  6. Step 6: Final answer
    x = 15,423.39

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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.