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Finding the Fourth Proportional to 208,338.60, 311,974.11 and 144,207.87

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Solution

The fourth proportional to 208,338.60, 311,974.11 and 144,207.87 is: 215,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,338.60 : 311,974.11 = 144,207.87 : x
  2. Step 2: Convert to fraction form
    208,338.60/311,974.11 = 144,207.87/x
  3. Step 3: Cross multiply
    208,338.60x = 311,974.11 × 144,207.87
  4. Step 4: Simplify right side
    208,338.60x = 44,989,121,898.25
  5. Step 5: Solve for x
    x = 44,989,121,898.25/208,338.60
  6. Step 6: Final answer
    x = 215,942.33

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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.