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Finding the Fourth Proportional to 83,645.55, 115,378.35 and 49,629.96

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Solution

The fourth proportional to 83,645.55, 115,378.35 and 49,629.96 is: 68,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,645.55 : 115,378.35 = 49,629.96 : x
  2. Step 2: Convert to fraction form
    83,645.55/115,378.35 = 49,629.96/x
  3. Step 3: Cross multiply
    83,645.55x = 115,378.35 × 49,629.96
  4. Step 4: Simplify right side
    83,645.55x = 5,726,222,895.37
  5. Step 5: Solve for x
    x = 5,726,222,895.37/83,645.55
  6. Step 6: Final answer
    x = 68,458.19

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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.