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Finding the Fourth Proportional to 204,872.40, 306,980.55 and 129,858.30

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Solution

The fourth proportional to 204,872.40, 306,980.55 and 129,858.30 is: 194,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,872.40 : 306,980.55 = 129,858.30 : x
  2. Step 2: Convert to fraction form
    204,872.40/306,980.55 = 129,858.30/x
  3. Step 3: Cross multiply
    204,872.40x = 306,980.55 × 129,858.30
  4. Step 4: Simplify right side
    204,872.40x = 39,863,972,356.07
  5. Step 5: Solve for x
    x = 39,863,972,356.07/204,872.40
  6. Step 6: Final answer
    x = 194,579.52

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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.