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Finding the Fourth Proportional to 222,625.80, 307,241.10 and 137,770.20

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Solution

The fourth proportional to 222,625.80, 307,241.10 and 137,770.20 is: 190,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,625.80 : 307,241.10 = 137,770.20 : x
  2. Step 2: Convert to fraction form
    222,625.80/307,241.10 = 137,770.20/x
  3. Step 3: Cross multiply
    222,625.80x = 307,241.10 × 137,770.20
  4. Step 4: Simplify right side
    222,625.80x = 42,328,667,795.22
  5. Step 5: Solve for x
    x = 42,328,667,795.22/222,625.80
  6. Step 6: Final answer
    x = 190,133.70

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1.5x scale

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.