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Finding the Fourth Proportional to 221,118, 331,728.84 and 73,374

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Solution

The fourth proportional to 221,118, 331,728.84 and 73,374 is: 110,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,118 : 331,728.84 = 73,374 : x
  2. Step 2: Convert to fraction form
    221,118/331,728.84 = 73,374/x
  3. Step 3: Cross multiply
    221,118x = 331,728.84 × 73,374
  4. Step 4: Simplify right side
    221,118x = 24,340,271,906.16
  5. Step 5: Solve for x
    x = 24,340,271,906.16/221,118
  6. Step 6: Final answer
    x = 110,078.20

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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.