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Finding the Fourth Proportional to 49,691.80, 74,480.10 and 20,090.20

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Solution

The fourth proportional to 49,691.80, 74,480.10 and 20,090.20 is: 30,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,691.80 : 74,480.10 = 20,090.20 : x
  2. Step 2: Convert to fraction form
    49,691.80/74,480.10 = 20,090.20/x
  3. Step 3: Cross multiply
    49,691.80x = 74,480.10 × 20,090.20
  4. Step 4: Simplify right side
    49,691.80x = 1,496,320,105.02
  5. Step 5: Solve for x
    x = 1,496,320,105.02/49,691.80
  6. Step 6: Final answer
    x = 30,112.01

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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.