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Finding the Fourth Proportional to 204,071.85, 306,110.85 and 77,719.08

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Solution

The fourth proportional to 204,071.85, 306,110.85 and 77,719.08 is: 116,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,071.85 : 306,110.85 = 77,719.08 : x
  2. Step 2: Convert to fraction form
    204,071.85/306,110.85 = 77,719.08/x
  3. Step 3: Cross multiply
    204,071.85x = 306,110.85 × 77,719.08
  4. Step 4: Simplify right side
    204,071.85x = 23,790,653,640.02
  5. Step 5: Solve for x
    x = 23,790,653,640.02/204,071.85
  6. Step 6: Final answer
    x = 116,579.79

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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.