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Finding the Fourth Proportional to 230,876.30, 346,314.45 and 81,139.70

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Solution

The fourth proportional to 230,876.30, 346,314.45 and 81,139.70 is: 121,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,876.30 : 346,314.45 = 81,139.70 : x
  2. Step 2: Convert to fraction form
    230,876.30/346,314.45 = 81,139.70/x
  3. Step 3: Cross multiply
    230,876.30x = 346,314.45 × 81,139.70
  4. Step 4: Simplify right side
    230,876.30x = 28,099,850,578.67
  5. Step 5: Solve for x
    x = 28,099,850,578.67/230,876.30
  6. Step 6: Final answer
    x = 121,709.55

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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.