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Finding the Fourth Proportional to 221,097.28, 305,103.84 and 120,493.12

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Solution

The fourth proportional to 221,097.28, 305,103.84 and 120,493.12 is: 166,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,097.28 : 305,103.84 = 120,493.12 : x
  2. Step 2: Convert to fraction form
    221,097.28/305,103.84 = 120,493.12/x
  3. Step 3: Cross multiply
    221,097.28x = 305,103.84 × 120,493.12
  4. Step 4: Simplify right side
    221,097.28x = 36,762,913,605.58
  5. Step 5: Solve for x
    x = 36,762,913,605.58/221,097.28
  6. Step 6: Final answer
    x = 166,274.83

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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.