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Finding the Fourth Proportional to 76,876.80, 115,315.20 and 50,611.20

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Solution

The fourth proportional to 76,876.80, 115,315.20 and 50,611.20 is: 75,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.80 : 115,315.20 = 50,611.20 : x
  2. Step 2: Convert to fraction form
    76,876.80/115,315.20 = 50,611.20/x
  3. Step 3: Cross multiply
    76,876.80x = 115,315.20 × 50,611.20
  4. Step 4: Simplify right side
    76,876.80x = 5,836,240,650.24
  5. Step 5: Solve for x
    x = 5,836,240,650.24/76,876.80
  6. Step 6: Final answer
    x = 75,916.80

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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.