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Finding the Fourth Proportional to 238,236.66, 357,398.73 and 78,321.60

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Solution

The fourth proportional to 238,236.66, 357,398.73 and 78,321.60 is: 117,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,236.66 : 357,398.73 = 78,321.60 : x
  2. Step 2: Convert to fraction form
    238,236.66/357,398.73 = 78,321.60/x
  3. Step 3: Cross multiply
    238,236.66x = 357,398.73 × 78,321.60
  4. Step 4: Simplify right side
    238,236.66x = 27,992,040,371.57
  5. Step 5: Solve for x
    x = 27,992,040,371.57/238,236.66
  6. Step 6: Final answer
    x = 117,496.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.