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Finding the Fourth Proportional to 147,289, 203,258.82 and 80,221

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Solution

The fourth proportional to 147,289, 203,258.82 and 80,221 is: 110,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,289 : 203,258.82 = 80,221 : x
  2. Step 2: Convert to fraction form
    147,289/203,258.82 = 80,221/x
  3. Step 3: Cross multiply
    147,289x = 203,258.82 × 80,221
  4. Step 4: Simplify right side
    147,289x = 16,305,625,799.22
  5. Step 5: Solve for x
    x = 16,305,625,799.22/147,289
  6. Step 6: Final answer
    x = 110,704.98

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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.