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Finding the Fourth Proportional to 120,998.31, 166,970.80 and 67,282.17

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Solution

The fourth proportional to 120,998.31, 166,970.80 and 67,282.17 is: 92,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998.31 : 166,970.80 = 67,282.17 : x
  2. Step 2: Convert to fraction form
    120,998.31/166,970.80 = 67,282.17/x
  3. Step 3: Cross multiply
    120,998.31x = 166,970.80 × 67,282.17
  4. Step 4: Simplify right side
    120,998.31x = 11,234,157,414.23
  5. Step 5: Solve for x
    x = 11,234,157,414.23/120,998.31
  6. Step 6: Final answer
    x = 92,845.57

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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.