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Finding the Fourth Proportional to 120,998.23, 166,981.61 and 66,552.70

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Solution

The fourth proportional to 120,998.23, 166,981.61 and 66,552.70 is: 91,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998.23 : 166,981.61 = 66,552.70 : x
  2. Step 2: Convert to fraction form
    120,998.23/166,981.61 = 66,552.70/x
  3. Step 3: Cross multiply
    120,998.23x = 166,981.61 × 66,552.70
  4. Step 4: Simplify right side
    120,998.23x = 11,113,076,436.78
  5. Step 5: Solve for x
    x = 11,113,076,436.78/120,998.23
  6. Step 6: Final answer
    x = 91,844.95

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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.