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Finding the Fourth Proportional to 203,250.35, 304,851.78 and 81,665.98

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Solution

The fourth proportional to 203,250.35, 304,851.78 and 81,665.98 is: 122,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,250.35 : 304,851.78 = 81,665.98 : x
  2. Step 2: Convert to fraction form
    203,250.35/304,851.78 = 81,665.98/x
  3. Step 3: Cross multiply
    203,250.35x = 304,851.78 × 81,665.98
  4. Step 4: Simplify right side
    203,250.35x = 24,896,019,368.44
  5. Step 5: Solve for x
    x = 24,896,019,368.44/203,250.35
  6. Step 6: Final answer
    x = 122,489.43

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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.