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Finding the Fourth Proportional to 121,378.78, 181,941.82 and 67,992.49

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Solution

The fourth proportional to 121,378.78, 181,941.82 and 67,992.49 is: 101,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,378.78 : 181,941.82 = 67,992.49 : x
  2. Step 2: Convert to fraction form
    121,378.78/181,941.82 = 67,992.49/x
  3. Step 3: Cross multiply
    121,378.78x = 181,941.82 × 67,992.49
  4. Step 4: Simplify right side
    121,378.78x = 12,370,677,376.93
  5. Step 5: Solve for x
    x = 12,370,677,376.93/121,378.78
  6. Step 6: Final answer
    x = 101,917.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.