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Finding the Fourth Proportional to 202,540.76, 304,001.80 and 102,772.54

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Solution

The fourth proportional to 202,540.76, 304,001.80 and 102,772.54 is: 154,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540.76 : 304,001.80 = 102,772.54 : x
  2. Step 2: Convert to fraction form
    202,540.76/304,001.80 = 102,772.54/x
  3. Step 3: Cross multiply
    202,540.76x = 304,001.80 × 102,772.54
  4. Step 4: Simplify right side
    202,540.76x = 31,243,037,150.57
  5. Step 5: Solve for x
    x = 31,243,037,150.57/202,540.76
  6. Step 6: Final answer
    x = 154,255.55

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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.