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Finding the Fourth Proportional to 221,376, 332,064 and 73,632

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Solution

The fourth proportional to 221,376, 332,064 and 73,632 is: 110,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,376 : 332,064 = 73,632 : x
  2. Step 2: Convert to fraction form
    221,376/332,064 = 73,632/x
  3. Step 3: Cross multiply
    221,376x = 332,064 × 73,632
  4. Step 4: Simplify right side
    221,376x = 24,450,536,448
  5. Step 5: Solve for x
    x = 24,450,536,448/221,376
  6. Step 6: Final answer
    x = 110,448

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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.