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Finding the Fourth Proportional to 222,538.88, 307,102.38 and 120,566.35

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Solution

The fourth proportional to 222,538.88, 307,102.38 and 120,566.35 is: 166,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,538.88 : 307,102.38 = 120,566.35 : x
  2. Step 2: Convert to fraction form
    222,538.88/307,102.38 = 120,566.35/x
  3. Step 3: Cross multiply
    222,538.88x = 307,102.38 × 120,566.35
  4. Step 4: Simplify right side
    222,538.88x = 37,026,211,497.40
  5. Step 5: Solve for x
    x = 37,026,211,497.40/222,538.88
  6. Step 6: Final answer
    x = 166,380.87

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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.