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Finding the Fourth Proportional to 83,796.89, 115,640.19 and 45,556.74

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Solution

The fourth proportional to 83,796.89, 115,640.19 and 45,556.74 is: 62,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796.89 : 115,640.19 = 45,556.74 : x
  2. Step 2: Convert to fraction form
    83,796.89/115,640.19 = 45,556.74/x
  3. Step 3: Cross multiply
    83,796.89x = 115,640.19 × 45,556.74
  4. Step 4: Simplify right side
    83,796.89x = 5,268,190,069.38
  5. Step 5: Solve for x
    x = 5,268,190,069.38/83,796.89
  6. Step 6: Final answer
    x = 62,868.57

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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.