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Finding the Fourth Proportional to 114,244.90, 171,396.92 and 66,900

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Solution

The fourth proportional to 114,244.90, 171,396.92 and 66,900 is: 100,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,244.90 : 171,396.92 = 66,900 : x
  2. Step 2: Convert to fraction form
    114,244.90/171,396.92 = 66,900/x
  3. Step 3: Cross multiply
    114,244.90x = 171,396.92 × 66,900
  4. Step 4: Simplify right side
    114,244.90x = 11,466,453,948
  5. Step 5: Solve for x
    x = 11,466,453,948/114,244.90
  6. Step 6: Final answer
    x = 100,367.32

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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.