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Finding the Fourth Proportional to 222,354.62, 306,849.49 and 120,380.10

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Solution

The fourth proportional to 222,354.62, 306,849.49 and 120,380.10 is: 166,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,354.62 : 306,849.49 = 120,380.10 : x
  2. Step 2: Convert to fraction form
    222,354.62/306,849.49 = 120,380.10/x
  3. Step 3: Cross multiply
    222,354.62x = 306,849.49 × 120,380.10
  4. Step 4: Simplify right side
    222,354.62x = 36,938,572,041.10
  5. Step 5: Solve for x
    x = 36,938,572,041.10/222,354.62
  6. Step 6: Final answer
    x = 166,124.60

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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.