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Finding the Fourth Proportional to 205,400, 308,151.92 and 57,656

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Solution

The fourth proportional to 205,400, 308,151.92 and 57,656 is: 86,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,400 : 308,151.92 = 57,656 : x
  2. Step 2: Convert to fraction form
    205,400/308,151.92 = 57,656/x
  3. Step 3: Cross multiply
    205,400x = 308,151.92 × 57,656
  4. Step 4: Simplify right side
    205,400x = 17,766,807,099.52
  5. Step 5: Solve for x
    x = 17,766,807,099.52/205,400
  6. Step 6: Final answer
    x = 86,498.57

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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.