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Finding the Fourth Proportional to 222,368.70, 306,869.01 and 120,394.23

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Solution

The fourth proportional to 222,368.70, 306,869.01 and 120,394.23 is: 166,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,368.70 : 306,869.01 = 120,394.23 : x
  2. Step 2: Convert to fraction form
    222,368.70/306,869.01 = 120,394.23/x
  3. Step 3: Cross multiply
    222,368.70x = 306,869.01 × 120,394.23
  4. Step 4: Simplify right side
    222,368.70x = 36,945,258,169.81
  5. Step 5: Solve for x
    x = 36,945,258,169.81/222,368.70
  6. Step 6: Final answer
    x = 166,144.15

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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.