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Finding the Fourth Proportional to 221,519.95, 305,697.45 and 120,917.95

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Solution

The fourth proportional to 221,519.95, 305,697.45 and 120,917.95 is: 166,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,519.95 : 305,697.45 = 120,917.95 : x
  2. Step 2: Convert to fraction form
    221,519.95/305,697.45 = 120,917.95/x
  3. Step 3: Cross multiply
    221,519.95x = 305,697.45 × 120,917.95
  4. Step 4: Simplify right side
    221,519.95x = 36,964,308,974.23
  5. Step 5: Solve for x
    x = 36,964,308,974.23/221,519.95
  6. Step 6: Final answer
    x = 166,866.73

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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.