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Finding the Fourth Proportional to 204,889.71, 307,159.26 and 78,620.56

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Solution

The fourth proportional to 204,889.71, 307,159.26 and 78,620.56 is: 117,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,889.71 : 307,159.26 = 78,620.56 : x
  2. Step 2: Convert to fraction form
    204,889.71/307,159.26 = 78,620.56/x
  3. Step 3: Cross multiply
    204,889.71x = 307,159.26 × 78,620.56
  4. Step 4: Simplify right side
    204,889.71x = 24,149,032,637.28
  5. Step 5: Solve for x
    x = 24,149,032,637.28/204,889.71
  6. Step 6: Final answer
    x = 117,863.57

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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.