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Finding the Fourth Proportional to 39,156.80, 54,017.92 and 22,380

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Solution

The fourth proportional to 39,156.80, 54,017.92 and 22,380 is: 30,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,156.80 : 54,017.92 = 22,380 : x
  2. Step 2: Convert to fraction form
    39,156.80/54,017.92 = 22,380/x
  3. Step 3: Cross multiply
    39,156.80x = 54,017.92 × 22,380
  4. Step 4: Simplify right side
    39,156.80x = 1,208,921,049.60
  5. Step 5: Solve for x
    x = 1,208,921,049.60/39,156.80
  6. Step 6: Final answer
    x = 30,873.85

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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.