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Finding the Fourth Proportional to 208,247, 312,379.14 and 60,503

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Solution

The fourth proportional to 208,247, 312,379.14 and 60,503 is: 90,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,247 : 312,379.14 = 60,503 : x
  2. Step 2: Convert to fraction form
    208,247/312,379.14 = 60,503/x
  3. Step 3: Cross multiply
    208,247x = 312,379.14 × 60,503
  4. Step 4: Simplify right side
    208,247x = 18,899,875,107.42
  5. Step 5: Solve for x
    x = 18,899,875,107.42/208,247
  6. Step 6: Final answer
    x = 90,757.01

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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.