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Finding the Fourth Proportional to 120,758.34, 166,638.18 and 67,039.20

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Solution

The fourth proportional to 120,758.34, 166,638.18 and 67,039.20 is: 92,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,758.34 : 166,638.18 = 67,039.20 : x
  2. Step 2: Convert to fraction form
    120,758.34/166,638.18 = 67,039.20/x
  3. Step 3: Cross multiply
    120,758.34x = 166,638.18 × 67,039.20
  4. Step 4: Simplify right side
    120,758.34x = 11,171,290,276.66
  5. Step 5: Solve for x
    x = 11,171,290,276.66/120,758.34
  6. Step 6: Final answer
    x = 92,509.47

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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.