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Finding the Fourth Proportional to 222,408.72, 306,808.38 and 136,387.80

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Solution

The fourth proportional to 222,408.72, 306,808.38 and 136,387.80 is: 188,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,408.72 : 306,808.38 = 136,387.80 : x
  2. Step 2: Convert to fraction form
    222,408.72/306,808.38 = 136,387.80/x
  3. Step 3: Cross multiply
    222,408.72x = 306,808.38 × 136,387.80
  4. Step 4: Simplify right side
    222,408.72x = 41,844,919,969.76
  5. Step 5: Solve for x
    x = 41,844,919,969.76/222,408.72
  6. Step 6: Final answer
    x = 188,144.24

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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.