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Finding the Fourth Proportional to 120,448, 166,218.24 and 67,456

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Solution

The fourth proportional to 120,448, 166,218.24 and 67,456 is: 93,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,448 : 166,218.24 = 67,456 : x
  2. Step 2: Convert to fraction form
    120,448/166,218.24 = 67,456/x
  3. Step 3: Cross multiply
    120,448x = 166,218.24 × 67,456
  4. Step 4: Simplify right side
    120,448x = 11,212,417,597.44
  5. Step 5: Solve for x
    x = 11,212,417,597.44/120,448
  6. Step 6: Final answer
    x = 93,089.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.