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Finding the Fourth Proportional to 203,069.29, 304,883.46 and 103,297

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Solution

The fourth proportional to 203,069.29, 304,883.46 and 103,297 is: 155,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,069.29 : 304,883.46 = 103,297 : x
  2. Step 2: Convert to fraction form
    203,069.29/304,883.46 = 103,297/x
  3. Step 3: Cross multiply
    203,069.29x = 304,883.46 × 103,297
  4. Step 4: Simplify right side
    203,069.29x = 31,493,546,767.62
  5. Step 5: Solve for x
    x = 31,493,546,767.62/203,069.29
  6. Step 6: Final answer
    x = 155,087.69

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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.