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Finding the Fourth Proportional to 65,676.52, 90,635.51 and 40,182.48

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Solution

The fourth proportional to 65,676.52, 90,635.51 and 40,182.48 is: 55,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676.52 : 90,635.51 = 40,182.48 : x
  2. Step 2: Convert to fraction form
    65,676.52/90,635.51 = 40,182.48/x
  3. Step 3: Cross multiply
    65,676.52x = 90,635.51 × 40,182.48
  4. Step 4: Simplify right side
    65,676.52x = 3,641,959,442.29
  5. Step 5: Solve for x
    x = 3,641,959,442.29/65,676.52
  6. Step 6: Final answer
    x = 55,452.99

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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.