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Finding the Fourth Proportional to 222,184, 306,613.96 and 121,582

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Solution

The fourth proportional to 222,184, 306,613.96 and 121,582 is: 167,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,184 : 306,613.96 = 121,582 : x
  2. Step 2: Convert to fraction form
    222,184/306,613.96 = 121,582/x
  3. Step 3: Cross multiply
    222,184x = 306,613.96 × 121,582
  4. Step 4: Simplify right side
    222,184x = 37,278,738,484.72
  5. Step 5: Solve for x
    x = 37,278,738,484.72/222,184
  6. Step 6: Final answer
    x = 167,783.18

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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.