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Finding the Fourth Proportional to 222,364.88, 306,863.62 and 120,390.34

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Solution

The fourth proportional to 222,364.88, 306,863.62 and 120,390.34 is: 166,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,364.88 : 306,863.62 = 120,390.34 : x
  2. Step 2: Convert to fraction form
    222,364.88/306,863.62 = 120,390.34/x
  3. Step 3: Cross multiply
    222,364.88x = 306,863.62 × 120,390.34
  4. Step 4: Simplify right side
    222,364.88x = 36,943,415,545.43
  5. Step 5: Solve for x
    x = 36,943,415,545.43/222,364.88
  6. Step 6: Final answer
    x = 166,138.72

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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.