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Finding the Fourth Proportional to 144,843.84, 217,325.76 and 78,205.65

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Solution

The fourth proportional to 144,843.84, 217,325.76 and 78,205.65 is: 117,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,843.84 : 217,325.76 = 78,205.65 : x
  2. Step 2: Convert to fraction form
    144,843.84/217,325.76 = 78,205.65/x
  3. Step 3: Cross multiply
    144,843.84x = 217,325.76 × 78,205.65
  4. Step 4: Simplify right side
    144,843.84x = 16,996,102,322.54
  5. Step 5: Solve for x
    x = 16,996,102,322.54/144,843.84
  6. Step 6: Final answer
    x = 117,340.87

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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.