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Finding the Fourth Proportional to 120,574.84, 166,392.60 and 66,867.78

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Solution

The fourth proportional to 120,574.84, 166,392.60 and 66,867.78 is: 92,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,574.84 : 166,392.60 = 66,867.78 : x
  2. Step 2: Convert to fraction form
    120,574.84/166,392.60 = 66,867.78/x
  3. Step 3: Cross multiply
    120,574.84x = 166,392.60 × 66,867.78
  4. Step 4: Simplify right side
    120,574.84x = 11,126,303,770.43
  5. Step 5: Solve for x
    x = 11,126,303,770.43/120,574.84
  6. Step 6: Final answer
    x = 92,277.16

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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.