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Finding the Fourth Proportional to 222,339.87, 306,828.64 and 120,365.29

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Solution

The fourth proportional to 222,339.87, 306,828.64 and 120,365.29 is: 166,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,339.87 : 306,828.64 = 120,365.29 : x
  2. Step 2: Convert to fraction form
    222,339.87/306,828.64 = 120,365.29/x
  3. Step 3: Cross multiply
    222,339.87x = 306,828.64 × 120,365.29
  4. Step 4: Simplify right side
    222,339.87x = 36,931,518,767.90
  5. Step 5: Solve for x
    x = 36,931,518,767.90/222,339.87
  6. Step 6: Final answer
    x = 166,103.90

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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.