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Finding the Fourth Proportional to 76,911.78, 106,138.20 and 43,377.78

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Solution

The fourth proportional to 76,911.78, 106,138.20 and 43,377.78 is: 59,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,911.78 : 106,138.20 = 43,377.78 : x
  2. Step 2: Convert to fraction form
    76,911.78/106,138.20 = 43,377.78/x
  3. Step 3: Cross multiply
    76,911.78x = 106,138.20 × 43,377.78
  4. Step 4: Simplify right side
    76,911.78x = 4,604,039,489.20
  5. Step 5: Solve for x
    x = 4,604,039,489.20/76,911.78
  6. Step 6: Final answer
    x = 59,861.30

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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.