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Finding the Fourth Proportional to 205,371.82, 307,925.88 and 85,511.80

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Solution

The fourth proportional to 205,371.82, 307,925.88 and 85,511.80 is: 128,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,371.82 : 307,925.88 = 85,511.80 : x
  2. Step 2: Convert to fraction form
    205,371.82/307,925.88 = 85,511.80/x
  3. Step 3: Cross multiply
    205,371.82x = 307,925.88 × 85,511.80
  4. Step 4: Simplify right side
    205,371.82x = 26,331,296,265.38
  5. Step 5: Solve for x
    x = 26,331,296,265.38/205,371.82
  6. Step 6: Final answer
    x = 128,212.80

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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.