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Finding the Fourth Proportional to 147,299, 203,272.62 and 80,231

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Solution

The fourth proportional to 147,299, 203,272.62 and 80,231 is: 110,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,299 : 203,272.62 = 80,231 : x
  2. Step 2: Convert to fraction form
    147,299/203,272.62 = 80,231/x
  3. Step 3: Cross multiply
    147,299x = 203,272.62 × 80,231
  4. Step 4: Simplify right side
    147,299x = 16,308,765,575.22
  5. Step 5: Solve for x
    x = 16,308,765,575.22/147,299
  6. Step 6: Final answer
    x = 110,718.78

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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.