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Finding the Fourth Proportional to 120,998.96, 166,971.70 and 67,282.82

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Solution

The fourth proportional to 120,998.96, 166,971.70 and 67,282.82 is: 92,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998.96 : 166,971.70 = 67,282.82 : x
  2. Step 2: Convert to fraction form
    120,998.96/166,971.70 = 67,282.82/x
  3. Step 3: Cross multiply
    120,998.96x = 166,971.70 × 67,282.82
  4. Step 4: Simplify right side
    120,998.96x = 11,234,326,333.12
  5. Step 5: Solve for x
    x = 11,234,326,333.12/120,998.96
  6. Step 6: Final answer
    x = 92,846.47

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1.5x scale

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.