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Finding the Fourth Proportional to 222,412.84, 306,929.16 and 120,438.29

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Solution

The fourth proportional to 222,412.84, 306,929.16 and 120,438.29 is: 166,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,412.84 : 306,929.16 = 120,438.29 : x
  2. Step 2: Convert to fraction form
    222,412.84/306,929.16 = 120,438.29/x
  3. Step 3: Cross multiply
    222,412.84x = 306,929.16 × 120,438.29
  4. Step 4: Simplify right side
    222,412.84x = 36,966,023,948.86
  5. Step 5: Solve for x
    x = 36,966,023,948.86/222,412.84
  6. Step 6: Final answer
    x = 166,204.54

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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.