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Finding the Fourth Proportional to 57,782.52, 86,701.25 and 40,040.48

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Solution

The fourth proportional to 57,782.52, 86,701.25 and 40,040.48 is: 60,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.52 : 86,701.25 = 40,040.48 : x
  2. Step 2: Convert to fraction form
    57,782.52/86,701.25 = 40,040.48/x
  3. Step 3: Cross multiply
    57,782.52x = 86,701.25 × 40,040.48
  4. Step 4: Simplify right side
    57,782.52x = 3,471,559,983.45
  5. Step 5: Solve for x
    x = 3,471,559,983.45/57,782.52
  6. Step 6: Final answer
    x = 60,079.76

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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.