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Finding the Fourth Proportional to 76,427.20, 114,640.80 and 34,874.20

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Solution

The fourth proportional to 76,427.20, 114,640.80 and 34,874.20 is: 52,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,427.20 : 114,640.80 = 34,874.20 : x
  2. Step 2: Convert to fraction form
    76,427.20/114,640.80 = 34,874.20/x
  3. Step 3: Cross multiply
    76,427.20x = 114,640.80 × 34,874.20
  4. Step 4: Simplify right side
    76,427.20x = 3,998,006,187.36
  5. Step 5: Solve for x
    x = 3,998,006,187.36/76,427.20
  6. Step 6: Final answer
    x = 52,311.30

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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.