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Finding the Fourth Proportional to 154,382.62, 231,786.45 and 78,532.51

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Solution

The fourth proportional to 154,382.62, 231,786.45 and 78,532.51 is: 117,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,382.62 : 231,786.45 = 78,532.51 : x
  2. Step 2: Convert to fraction form
    154,382.62/231,786.45 = 78,532.51/x
  3. Step 3: Cross multiply
    154,382.62x = 231,786.45 × 78,532.51
  4. Step 4: Simplify right side
    154,382.62x = 18,202,771,702.49
  5. Step 5: Solve for x
    x = 18,202,771,702.49/154,382.62
  6. Step 6: Final answer
    x = 117,906.87

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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.