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Finding the Fourth Proportional to 120,574.34, 166,391.91 and 66,867.29

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Solution

The fourth proportional to 120,574.34, 166,391.91 and 66,867.29 is: 92,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,574.34 : 166,391.91 = 66,867.29 : x
  2. Step 2: Convert to fraction form
    120,574.34/166,391.91 = 66,867.29/x
  3. Step 3: Cross multiply
    120,574.34x = 166,391.91 × 66,867.29
  4. Step 4: Simplify right side
    120,574.34x = 11,126,175,267.66
  5. Step 5: Solve for x
    x = 11,126,175,267.66/120,574.34
  6. Step 6: Final answer
    x = 92,276.48

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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.