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Finding the Fourth Proportional to 120,881.30, 166,768.42 and 69,884.64

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Solution

The fourth proportional to 120,881.30, 166,768.42 and 69,884.64 is: 96,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,881.30 : 166,768.42 = 69,884.64 : x
  2. Step 2: Convert to fraction form
    120,881.30/166,768.42 = 69,884.64/x
  3. Step 3: Cross multiply
    120,881.30x = 166,768.42 × 69,884.64
  4. Step 4: Simplify right side
    120,881.30x = 11,654,550,995.07
  5. Step 5: Solve for x
    x = 11,654,550,995.07/120,881.30
  6. Step 6: Final answer
    x = 96,413.18

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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.