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Finding the Fourth Proportional to 204,083.25, 306,128.01 and 77,730.51

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Solution

The fourth proportional to 204,083.25, 306,128.01 and 77,730.51 is: 116,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,083.25 : 306,128.01 = 77,730.51 : x
  2. Step 2: Convert to fraction form
    204,083.25/306,128.01 = 77,730.51/x
  3. Step 3: Cross multiply
    204,083.25x = 306,128.01 × 77,730.51
  4. Step 4: Simplify right side
    204,083.25x = 23,795,486,342.59
  5. Step 5: Solve for x
    x = 23,795,486,342.59/204,083.25
  6. Step 6: Final answer
    x = 116,596.96

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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.