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Finding the Fourth Proportional to 144,906.88, 199,971.80 and 80,380.64

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Solution

The fourth proportional to 144,906.88, 199,971.80 and 80,380.64 is: 110,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906.88 : 199,971.80 = 80,380.64 : x
  2. Step 2: Convert to fraction form
    144,906.88/199,971.80 = 80,380.64/x
  3. Step 3: Cross multiply
    144,906.88x = 199,971.80 × 80,380.64
  4. Step 4: Simplify right side
    144,906.88x = 16,073,861,265.95
  5. Step 5: Solve for x
    x = 16,073,861,265.95/144,906.88
  6. Step 6: Final answer
    x = 110,925.45

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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.