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Finding the Fourth Proportional to 222,186, 306,616.68 and 121,584

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Solution

The fourth proportional to 222,186, 306,616.68 and 121,584 is: 167,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,186 : 306,616.68 = 121,584 : x
  2. Step 2: Convert to fraction form
    222,186/306,616.68 = 121,584/x
  3. Step 3: Cross multiply
    222,186x = 306,616.68 × 121,584
  4. Step 4: Simplify right side
    222,186x = 37,279,682,421.12
  5. Step 5: Solve for x
    x = 37,279,682,421.12/222,186
  6. Step 6: Final answer
    x = 167,785.92

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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.