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Finding the Fourth Proportional to 77,640.80, 107,143.65 and 43,649.44

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Solution

The fourth proportional to 77,640.80, 107,143.65 and 43,649.44 is: 60,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640.80 : 107,143.65 = 43,649.44 : x
  2. Step 2: Convert to fraction form
    77,640.80/107,143.65 = 43,649.44/x
  3. Step 3: Cross multiply
    77,640.80x = 107,143.65 × 43,649.44
  4. Step 4: Simplify right side
    77,640.80x = 4,676,760,217.88
  5. Step 5: Solve for x
    x = 4,676,760,217.88/77,640.80
  6. Step 6: Final answer
    x = 60,235.86

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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.