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Finding the Fourth Proportional to 120,981.74, 166,906.80 and 69,985

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Solution

The fourth proportional to 120,981.74, 166,906.80 and 69,985 is: 96,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,981.74 : 166,906.80 = 69,985 : x
  2. Step 2: Convert to fraction form
    120,981.74/166,906.80 = 69,985/x
  3. Step 3: Cross multiply
    120,981.74x = 166,906.80 × 69,985
  4. Step 4: Simplify right side
    120,981.74x = 11,680,972,398
  5. Step 5: Solve for x
    x = 11,680,972,398/120,981.74
  6. Step 6: Final answer
    x = 96,551.53

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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.