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Finding the Fourth Proportional to 225,820.47, 338,731.31 and 76,165.89

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Solution

The fourth proportional to 225,820.47, 338,731.31 and 76,165.89 is: 114,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,820.47 : 338,731.31 = 76,165.89 : x
  2. Step 2: Convert to fraction form
    225,820.47/338,731.31 = 76,165.89/x
  3. Step 3: Cross multiply
    225,820.47x = 338,731.31 × 76,165.89
  4. Step 4: Simplify right side
    225,820.47x = 25,799,771,697.02
  5. Step 5: Solve for x
    x = 25,799,771,697.02/225,820.47
  6. Step 6: Final answer
    x = 114,249.04

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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.