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Finding the Fourth Proportional to 222,363.81, 306,859.79 and 120,386.57

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Solution

The fourth proportional to 222,363.81, 306,859.79 and 120,386.57 is: 166,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,363.81 : 306,859.79 = 120,386.57 : x
  2. Step 2: Convert to fraction form
    222,363.81/306,859.79 = 120,386.57/x
  3. Step 3: Cross multiply
    222,363.81x = 306,859.79 × 120,386.57
  4. Step 4: Simplify right side
    222,363.81x = 36,941,795,452.79
  5. Step 5: Solve for x
    x = 36,941,795,452.79/222,363.81
  6. Step 6: Final answer
    x = 166,132.23

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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.