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Finding the Fourth Proportional to 72,280.57, 108,467.12 and 39,023.82

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Solution

The fourth proportional to 72,280.57, 108,467.12 and 39,023.82 is: 58,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,280.57 : 108,467.12 = 39,023.82 : x
  2. Step 2: Convert to fraction form
    72,280.57/108,467.12 = 39,023.82/x
  3. Step 3: Cross multiply
    72,280.57x = 108,467.12 × 39,023.82
  4. Step 4: Simplify right side
    72,280.57x = 4,232,801,366.80
  5. Step 5: Solve for x
    x = 4,232,801,366.80/72,280.57
  6. Step 6: Final answer
    x = 58,560.71

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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.