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Finding the Fourth Proportional to 147,538, 203,604.87 and 80,470

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Solution

The fourth proportional to 147,538, 203,604.87 and 80,470 is: 111,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,538 : 203,604.87 = 80,470 : x
  2. Step 2: Convert to fraction form
    147,538/203,604.87 = 80,470/x
  3. Step 3: Cross multiply
    147,538x = 203,604.87 × 80,470
  4. Step 4: Simplify right side
    147,538x = 16,384,083,888.90
  5. Step 5: Solve for x
    x = 16,384,083,888.90/147,538
  6. Step 6: Final answer
    x = 111,049.93

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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.