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Finding the Fourth Proportional to 231,103.20, 346,687.20 and 90,829.20

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Solution

The fourth proportional to 231,103.20, 346,687.20 and 90,829.20 is: 136,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,103.20 : 346,687.20 = 90,829.20 : x
  2. Step 2: Convert to fraction form
    231,103.20/346,687.20 = 90,829.20/x
  3. Step 3: Cross multiply
    231,103.20x = 346,687.20 × 90,829.20
  4. Step 4: Simplify right side
    231,103.20x = 31,489,321,026.24
  5. Step 5: Solve for x
    x = 31,489,321,026.24/231,103.20
  6. Step 6: Final answer
    x = 136,256.53

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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.