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Finding the Fourth Proportional to 221,770.78, 306,043.76 and 119,796.23

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Solution

The fourth proportional to 221,770.78, 306,043.76 and 119,796.23 is: 165,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,770.78 : 306,043.76 = 119,796.23 : x
  2. Step 2: Convert to fraction form
    221,770.78/306,043.76 = 119,796.23/x
  3. Step 3: Cross multiply
    221,770.78x = 306,043.76 × 119,796.23
  4. Step 4: Simplify right side
    221,770.78x = 36,662,889,727.62
  5. Step 5: Solve for x
    x = 36,662,889,727.62/221,770.78
  6. Step 6: Final answer
    x = 165,318.85

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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.