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Finding the Fourth Proportional to 120,978.82, 166,951.47 and 67,268.89

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Solution

The fourth proportional to 120,978.82, 166,951.47 and 67,268.89 is: 92,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,978.82 : 166,951.47 = 67,268.89 : x
  2. Step 2: Convert to fraction form
    120,978.82/166,951.47 = 67,268.89/x
  3. Step 3: Cross multiply
    120,978.82x = 166,951.47 × 67,268.89
  4. Step 4: Simplify right side
    120,978.82x = 11,230,640,070.77
  5. Step 5: Solve for x
    x = 11,230,640,070.77/120,978.82
  6. Step 6: Final answer
    x = 92,831.46

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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.