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Finding the Fourth Proportional to 75,760.80, 104,616 and 47,515.20

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Solution

The fourth proportional to 75,760.80, 104,616 and 47,515.20 is: 65,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,760.80 : 104,616 = 47,515.20 : x
  2. Step 2: Convert to fraction form
    75,760.80/104,616 = 47,515.20/x
  3. Step 3: Cross multiply
    75,760.80x = 104,616 × 47,515.20
  4. Step 4: Simplify right side
    75,760.80x = 4,970,850,163.20
  5. Step 5: Solve for x
    x = 4,970,850,163.20/75,760.80
  6. Step 6: Final answer
    x = 65,612.43

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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.