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Finding the Fourth Proportional to 202,546.76, 304,010.80 and 102,778.54

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Solution

The fourth proportional to 202,546.76, 304,010.80 and 102,778.54 is: 154,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,546.76 : 304,010.80 = 102,778.54 : x
  2. Step 2: Convert to fraction form
    202,546.76/304,010.80 = 102,778.54/x
  3. Step 3: Cross multiply
    202,546.76x = 304,010.80 × 102,778.54
  4. Step 4: Simplify right side
    202,546.76x = 31,245,786,168.23
  5. Step 5: Solve for x
    x = 31,245,786,168.23/202,546.76
  6. Step 6: Final answer
    x = 154,264.56

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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.