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Finding the Fourth Proportional to 222,358.61, 306,857.27 and 120,386.19

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Solution

The fourth proportional to 222,358.61, 306,857.27 and 120,386.19 is: 166,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,358.61 : 306,857.27 = 120,386.19 : x
  2. Step 2: Convert to fraction form
    222,358.61/306,857.27 = 120,386.19/x
  3. Step 3: Cross multiply
    222,358.61x = 306,857.27 × 120,386.19
  4. Step 4: Simplify right side
    222,358.61x = 36,941,377,007.17
  5. Step 5: Solve for x
    x = 36,941,377,007.17/222,358.61
  6. Step 6: Final answer
    x = 166,134.23

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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.