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Finding the Fourth Proportional to 57,195, 78,929.10 and 34,839

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Solution

The fourth proportional to 57,195, 78,929.10 and 34,839 is: 48,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,195 : 78,929.10 = 34,839 : x
  2. Step 2: Convert to fraction form
    57,195/78,929.10 = 34,839/x
  3. Step 3: Cross multiply
    57,195x = 78,929.10 × 34,839
  4. Step 4: Simplify right side
    57,195x = 2,749,810,914.90
  5. Step 5: Solve for x
    x = 2,749,810,914.90/57,195
  6. Step 6: Final answer
    x = 48,077.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.