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Finding the Fourth Proportional to 20,090.40, 30,140.40 and 10,231.20

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Solution

The fourth proportional to 20,090.40, 30,140.40 and 10,231.20 is: 15,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.40 : 30,140.40 = 10,231.20 : x
  2. Step 2: Convert to fraction form
    20,090.40/30,140.40 = 10,231.20/x
  3. Step 3: Cross multiply
    20,090.40x = 30,140.40 × 10,231.20
  4. Step 4: Simplify right side
    20,090.40x = 308,372,460.48
  5. Step 5: Solve for x
    x = 308,372,460.48/20,090.40
  6. Step 6: Final answer
    x = 15,349.24

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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.