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Finding the Fourth Proportional to 120,918.84, 166,866.78 and 67,202.78

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Solution

The fourth proportional to 120,918.84, 166,866.78 and 67,202.78 is: 92,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,918.84 : 166,866.78 = 67,202.78 : x
  2. Step 2: Convert to fraction form
    120,918.84/166,866.78 = 67,202.78/x
  3. Step 3: Cross multiply
    120,918.84x = 166,866.78 × 67,202.78
  4. Step 4: Simplify right side
    120,918.84x = 11,213,910,923.32
  5. Step 5: Solve for x
    x = 11,213,910,923.32/120,918.84
  6. Step 6: Final answer
    x = 92,739.16

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1.5x scale

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.