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Finding the Fourth Proportional to 83,893.82, 115,778.22 and 48,089.78

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Solution

The fourth proportional to 83,893.82, 115,778.22 and 48,089.78 is: 66,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.82 : 115,778.22 = 48,089.78 : x
  2. Step 2: Convert to fraction form
    83,893.82/115,778.22 = 48,089.78/x
  3. Step 3: Cross multiply
    83,893.82x = 115,778.22 × 48,089.78
  4. Step 4: Simplify right side
    83,893.82x = 5,567,749,128.59
  5. Step 5: Solve for x
    x = 5,567,749,128.59/83,893.82
  6. Step 6: Final answer
    x = 66,366.62

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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.