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Finding the Fourth Proportional to 57,275.40, 85,934.70 and 27,719.40

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Solution

The fourth proportional to 57,275.40, 85,934.70 and 27,719.40 is: 41,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,275.40 : 85,934.70 = 27,719.40 : x
  2. Step 2: Convert to fraction form
    57,275.40/85,934.70 = 27,719.40/x
  3. Step 3: Cross multiply
    57,275.40x = 85,934.70 × 27,719.40
  4. Step 4: Simplify right side
    57,275.40x = 2,382,058,323.18
  5. Step 5: Solve for x
    x = 2,382,058,323.18/57,275.40
  6. Step 6: Final answer
    x = 41,589.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.