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Finding the Fourth Proportional to 222,095.50, 306,491.79 and 120,120.97

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Solution

The fourth proportional to 222,095.50, 306,491.79 and 120,120.97 is: 165,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,095.50 : 306,491.79 = 120,120.97 : x
  2. Step 2: Convert to fraction form
    222,095.50/306,491.79 = 120,120.97/x
  3. Step 3: Cross multiply
    222,095.50x = 306,491.79 × 120,120.97
  4. Step 4: Simplify right side
    222,095.50x = 36,816,091,111.84
  5. Step 5: Solve for x
    x = 36,816,091,111.84/222,095.50
  6. Step 6: Final answer
    x = 165,766.94

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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.