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Finding the Fourth Proportional to 120,364.96, 165,981.84 and 80,027.04

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Solution

The fourth proportional to 120,364.96, 165,981.84 and 80,027.04 is: 110,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.96 : 165,981.84 = 80,027.04 : x
  2. Step 2: Convert to fraction form
    120,364.96/165,981.84 = 80,027.04/x
  3. Step 3: Cross multiply
    120,364.96x = 165,981.84 × 80,027.04
  4. Step 4: Simplify right side
    120,364.96x = 13,283,035,348.95
  5. Step 5: Solve for x
    x = 13,283,035,348.95/120,364.96
  6. Step 6: Final answer
    x = 110,356.33

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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.