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Finding the Fourth Proportional to 222,965.95, 307,691.44 and 120,988.82

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Solution

The fourth proportional to 222,965.95, 307,691.44 and 120,988.82 is: 166,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,965.95 : 307,691.44 = 120,988.82 : x
  2. Step 2: Convert to fraction form
    222,965.95/307,691.44 = 120,988.82/x
  3. Step 3: Cross multiply
    222,965.95x = 307,691.44 × 120,988.82
  4. Step 4: Simplify right side
    222,965.95x = 37,227,224,249.70
  5. Step 5: Solve for x
    x = 37,227,224,249.70/222,965.95
  6. Step 6: Final answer
    x = 166,963.72

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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.