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Finding the Fourth Proportional to 208,872.65, 312,769.39 and 144,156.75

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Solution

The fourth proportional to 208,872.65, 312,769.39 and 144,156.75 is: 215,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,872.65 : 312,769.39 = 144,156.75 : x
  2. Step 2: Convert to fraction form
    208,872.65/312,769.39 = 144,156.75/x
  3. Step 3: Cross multiply
    208,872.65x = 312,769.39 × 144,156.75
  4. Step 4: Simplify right side
    208,872.65x = 45,087,816,546.58
  5. Step 5: Solve for x
    x = 45,087,816,546.58/208,872.65
  6. Step 6: Final answer
    x = 215,862.71

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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.