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Finding the Fourth Proportional to 83,855.79, 115,719.75 and 45,614.43

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Solution

The fourth proportional to 83,855.79, 115,719.75 and 45,614.43 is: 62,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.79 : 115,719.75 = 45,614.43 : x
  2. Step 2: Convert to fraction form
    83,855.79/115,719.75 = 45,614.43/x
  3. Step 3: Cross multiply
    83,855.79x = 115,719.75 × 45,614.43
  4. Step 4: Simplify right side
    83,855.79x = 5,278,490,435.99
  5. Step 5: Solve for x
    x = 5,278,490,435.99/83,855.79
  6. Step 6: Final answer
    x = 62,947.24

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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.