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Finding the Fourth Proportional to 201,249.16, 301,837.39 and 81,301.73

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Solution

The fourth proportional to 201,249.16, 301,837.39 and 81,301.73 is: 121,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,249.16 : 301,837.39 = 81,301.73 : x
  2. Step 2: Convert to fraction form
    201,249.16/301,837.39 = 81,301.73/x
  3. Step 3: Cross multiply
    201,249.16x = 301,837.39 × 81,301.73
  4. Step 4: Simplify right side
    201,249.16x = 24,539,900,273.24
  5. Step 5: Solve for x
    x = 24,539,900,273.24/201,249.16
  6. Step 6: Final answer
    x = 121,937.90

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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.