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Finding the Fourth Proportional to 87,472.84, 120,729 and 54,782.41

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Solution

The fourth proportional to 87,472.84, 120,729 and 54,782.41 is: 75,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,472.84 : 120,729 = 54,782.41 : x
  2. Step 2: Convert to fraction form
    87,472.84/120,729 = 54,782.41/x
  3. Step 3: Cross multiply
    87,472.84x = 120,729 × 54,782.41
  4. Step 4: Simplify right side
    87,472.84x = 6,613,825,576.89
  5. Step 5: Solve for x
    x = 6,613,825,576.89/87,472.84
  6. Step 6: Final answer
    x = 75,610.05

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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.