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Finding the Fourth Proportional to 147,361, 203,358.21 and 80,293

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Solution

The fourth proportional to 147,361, 203,358.21 and 80,293 is: 110,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,361 : 203,358.21 = 80,293 : x
  2. Step 2: Convert to fraction form
    147,361/203,358.21 = 80,293/x
  3. Step 3: Cross multiply
    147,361x = 203,358.21 × 80,293
  4. Step 4: Simplify right side
    147,361x = 16,328,240,755.53
  5. Step 5: Solve for x
    x = 16,328,240,755.53/147,361
  6. Step 6: Final answer
    x = 110,804.36

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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.