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Finding the Fourth Proportional to 120,111, 165,738.82 and 66,388.76

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Solution

The fourth proportional to 120,111, 165,738.82 and 66,388.76 is: 91,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,111 : 165,738.82 = 66,388.76 : x
  2. Step 2: Convert to fraction form
    120,111/165,738.82 = 66,388.76/x
  3. Step 3: Cross multiply
    120,111x = 165,738.82 × 66,388.76
  4. Step 4: Simplify right side
    120,111x = 11,003,194,743.66
  5. Step 5: Solve for x
    x = 11,003,194,743.66/120,111
  6. Step 6: Final answer
    x = 91,608.55

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1.5x scale

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.