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Finding the Fourth Proportional to 120,904.40, 166,838.52 and 67,188.56

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Solution

The fourth proportional to 120,904.40, 166,838.52 and 67,188.56 is: 92,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,904.40 : 166,838.52 = 67,188.56 : x
  2. Step 2: Convert to fraction form
    120,904.40/166,838.52 = 67,188.56/x
  3. Step 3: Cross multiply
    120,904.40x = 166,838.52 × 67,188.56
  4. Step 4: Simplify right side
    120,904.40x = 11,209,639,911.33
  5. Step 5: Solve for x
    x = 11,209,639,911.33/120,904.40
  6. Step 6: Final answer
    x = 92,714.90

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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.