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Finding the Fourth Proportional to 83,585.52, 115,342.38 and 45,862.20

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Solution

The fourth proportional to 83,585.52, 115,342.38 and 45,862.20 is: 63,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,585.52 : 115,342.38 = 45,862.20 : x
  2. Step 2: Convert to fraction form
    83,585.52/115,342.38 = 45,862.20/x
  3. Step 3: Cross multiply
    83,585.52x = 115,342.38 × 45,862.20
  4. Step 4: Simplify right side
    83,585.52x = 5,289,855,300.04
  5. Step 5: Solve for x
    x = 5,289,855,300.04/83,585.52
  6. Step 6: Final answer
    x = 63,286.74

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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.