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Finding the Fourth Proportional to 87,048, 120,140.82 and 49,344.12

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Solution

The fourth proportional to 87,048, 120,140.82 and 49,344.12 is: 68,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,048 : 120,140.82 = 49,344.12 : x
  2. Step 2: Convert to fraction form
    87,048/120,140.82 = 49,344.12/x
  3. Step 3: Cross multiply
    87,048x = 120,140.82 × 49,344.12
  4. Step 4: Simplify right side
    87,048x = 5,928,243,038.98
  5. Step 5: Solve for x
    x = 5,928,243,038.98/87,048
  6. Step 6: Final answer
    x = 68,103.15

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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.