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Finding the Fourth Proportional to 208,614.52, 312,796.81 and 66,398.37

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Solution

The fourth proportional to 208,614.52, 312,796.81 and 66,398.37 is: 99,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,614.52 : 312,796.81 = 66,398.37 : x
  2. Step 2: Convert to fraction form
    208,614.52/312,796.81 = 66,398.37/x
  3. Step 3: Cross multiply
    208,614.52x = 312,796.81 × 66,398.37
  4. Step 4: Simplify right side
    208,614.52x = 20,769,198,325.20
  5. Step 5: Solve for x
    x = 20,769,198,325.20/208,614.52
  6. Step 6: Final answer
    x = 99,557.78

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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.