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Finding the Fourth Proportional to 204,081.69, 306,054.48 and 85,730.97

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Solution

The fourth proportional to 204,081.69, 306,054.48 and 85,730.97 is: 128,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,081.69 : 306,054.48 = 85,730.97 : x
  2. Step 2: Convert to fraction form
    204,081.69/306,054.48 = 85,730.97/x
  3. Step 3: Cross multiply
    204,081.69x = 306,054.48 × 85,730.97
  4. Step 4: Simplify right side
    204,081.69x = 26,238,347,443.25
  5. Step 5: Solve for x
    x = 26,238,347,443.25/204,081.69
  6. Step 6: Final answer
    x = 128,567.87

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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.