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Finding the Fourth Proportional to 120,852.91, 166,703.12 and 71,761.26

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Solution

The fourth proportional to 120,852.91, 166,703.12 and 71,761.26 is: 98,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,852.91 : 166,703.12 = 71,761.26 : x
  2. Step 2: Convert to fraction form
    120,852.91/166,703.12 = 71,761.26/x
  3. Step 3: Cross multiply
    120,852.91x = 166,703.12 × 71,761.26
  4. Step 4: Simplify right side
    120,852.91x = 11,962,825,736.69
  5. Step 5: Solve for x
    x = 11,962,825,736.69/120,852.91
  6. Step 6: Final answer
    x = 98,986.66

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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.