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Finding the Fourth Proportional to 77,048, 106,326.24 and 41,720

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Solution

The fourth proportional to 77,048, 106,326.24 and 41,720 is: 57,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048 : 106,326.24 = 41,720 : x
  2. Step 2: Convert to fraction form
    77,048/106,326.24 = 41,720/x
  3. Step 3: Cross multiply
    77,048x = 106,326.24 × 41,720
  4. Step 4: Simplify right side
    77,048x = 4,435,930,732.80
  5. Step 5: Solve for x
    x = 4,435,930,732.80/77,048
  6. Step 6: Final answer
    x = 57,573.60

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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.