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Finding the Fourth Proportional to 224,509.62, 309,745.11 and 143,981.55

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Solution

The fourth proportional to 224,509.62, 309,745.11 and 143,981.55 is: 198,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,509.62 : 309,745.11 = 143,981.55 : x
  2. Step 2: Convert to fraction form
    224,509.62/309,745.11 = 143,981.55/x
  3. Step 3: Cross multiply
    224,509.62x = 309,745.11 × 143,981.55
  4. Step 4: Simplify right side
    224,509.62x = 44,597,581,582.65
  5. Step 5: Solve for x
    x = 44,597,581,582.65/224,509.62
  6. Step 6: Final answer
    x = 198,644.41

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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.