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Finding the Fourth Proportional to 120,707.66, 166,568.78 and 66,992.70

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Solution

The fourth proportional to 120,707.66, 166,568.78 and 66,992.70 is: 92,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,707.66 : 166,568.78 = 66,992.70 : x
  2. Step 2: Convert to fraction form
    120,707.66/166,568.78 = 66,992.70/x
  3. Step 3: Cross multiply
    120,707.66x = 166,568.78 × 66,992.70
  4. Step 4: Simplify right side
    120,707.66x = 11,158,892,307.91
  5. Step 5: Solve for x
    x = 11,158,892,307.91/120,707.66
  6. Step 6: Final answer
    x = 92,445.60

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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.