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Finding the Fourth Proportional to 205,513.96, 308,277.44 and 55,753.88

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Solution

The fourth proportional to 205,513.96, 308,277.44 and 55,753.88 is: 83,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.96 : 308,277.44 = 55,753.88 : x
  2. Step 2: Convert to fraction form
    205,513.96/308,277.44 = 55,753.88/x
  3. Step 3: Cross multiply
    205,513.96x = 308,277.44 × 55,753.88
  4. Step 4: Simplify right side
    205,513.96x = 17,187,663,396.47
  5. Step 5: Solve for x
    x = 17,187,663,396.47/205,513.96
  6. Step 6: Final answer
    x = 83,632.58

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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.