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Finding the Fourth Proportional to 230,676.78, 345,849.11 and 141,746.55

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Solution

The fourth proportional to 230,676.78, 345,849.11 and 141,746.55 is: 212,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,676.78 : 345,849.11 = 141,746.55 : x
  2. Step 2: Convert to fraction form
    230,676.78/345,849.11 = 141,746.55/x
  3. Step 3: Cross multiply
    230,676.78x = 345,849.11 × 141,746.55
  4. Step 4: Simplify right side
    230,676.78x = 49,022,917,454.34
  5. Step 5: Solve for x
    x = 49,022,917,454.34/230,676.78
  6. Step 6: Final answer
    x = 212,517.78

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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.