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Finding the Fourth Proportional to 114,195.30, 171,446.85 and 66,858.90

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Solution

The fourth proportional to 114,195.30, 171,446.85 and 66,858.90 is: 100,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,195.30 : 171,446.85 = 66,858.90 : x
  2. Step 2: Convert to fraction form
    114,195.30/171,446.85 = 66,858.90/x
  3. Step 3: Cross multiply
    114,195.30x = 171,446.85 × 66,858.90
  4. Step 4: Simplify right side
    114,195.30x = 11,462,747,799.47
  5. Step 5: Solve for x
    x = 11,462,747,799.47/114,195.30
  6. Step 6: Final answer
    x = 100,378.46

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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.