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Finding the Fourth Proportional to 49,952.61, 68,863.10 and 30,819.60

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Solution

The fourth proportional to 49,952.61, 68,863.10 and 30,819.60 is: 42,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.61 : 68,863.10 = 30,819.60 : x
  2. Step 2: Convert to fraction form
    49,952.61/68,863.10 = 30,819.60/x
  3. Step 3: Cross multiply
    49,952.61x = 68,863.10 × 30,819.60
  4. Step 4: Simplify right side
    49,952.61x = 2,122,333,042.66
  5. Step 5: Solve for x
    x = 2,122,333,042.66/49,952.61
  6. Step 6: Final answer
    x = 42,486.93

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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.