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Finding the Fourth Proportional to 83,858.41, 115,719.51 and 45,617.68

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Solution

The fourth proportional to 83,858.41, 115,719.51 and 45,617.68 is: 62,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858.41 : 115,719.51 = 45,617.68 : x
  2. Step 2: Convert to fraction form
    83,858.41/115,719.51 = 45,617.68/x
  3. Step 3: Cross multiply
    83,858.41x = 115,719.51 × 45,617.68
  4. Step 4: Simplify right side
    83,858.41x = 5,278,855,576.94
  5. Step 5: Solve for x
    x = 5,278,855,576.94/83,858.41
  6. Step 6: Final answer
    x = 62,949.63

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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.