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Finding the Fourth Proportional to 149,843.84, 224,764.16 and 86,623.72

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Solution

The fourth proportional to 149,843.84, 224,764.16 and 86,623.72 is: 129,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,843.84 : 224,764.16 = 86,623.72 : x
  2. Step 2: Convert to fraction form
    149,843.84/224,764.16 = 86,623.72/x
  3. Step 3: Cross multiply
    149,843.84x = 224,764.16 × 86,623.72
  4. Step 4: Simplify right side
    149,843.84x = 19,469,907,661.88
  5. Step 5: Solve for x
    x = 19,469,907,661.88/149,843.84
  6. Step 6: Final answer
    x = 129,934.66

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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.