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Finding the Fourth Proportional to 166,679.50, 230,017.71 and 91,228

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Solution

The fourth proportional to 166,679.50, 230,017.71 and 91,228 is: 125,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,679.50 : 230,017.71 = 91,228 : x
  2. Step 2: Convert to fraction form
    166,679.50/230,017.71 = 91,228/x
  3. Step 3: Cross multiply
    166,679.50x = 230,017.71 × 91,228
  4. Step 4: Simplify right side
    166,679.50x = 20,984,055,647.88
  5. Step 5: Solve for x
    x = 20,984,055,647.88/166,679.50
  6. Step 6: Final answer
    x = 125,894.64

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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.