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Finding the Fourth Proportional to 83,921.69, 115,772.82 and 49,911.11

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Solution

The fourth proportional to 83,921.69, 115,772.82 and 49,911.11 is: 68,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,921.69 : 115,772.82 = 49,911.11 : x
  2. Step 2: Convert to fraction form
    83,921.69/115,772.82 = 49,911.11/x
  3. Step 3: Cross multiply
    83,921.69x = 115,772.82 × 49,911.11
  4. Step 4: Simplify right side
    83,921.69x = 5,778,349,954.03
  5. Step 5: Solve for x
    x = 5,778,349,954.03/83,921.69
  6. Step 6: Final answer
    x = 68,854.07

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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.