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Finding the Fourth Proportional to 205,791.80, 308,710.38 and 65,517.80

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Solution

The fourth proportional to 205,791.80, 308,710.38 and 65,517.80 is: 98,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,791.80 : 308,710.38 = 65,517.80 : x
  2. Step 2: Convert to fraction form
    205,791.80/308,710.38 = 65,517.80/x
  3. Step 3: Cross multiply
    205,791.80x = 308,710.38 × 65,517.80
  4. Step 4: Simplify right side
    205,791.80x = 20,226,024,934.76
  5. Step 5: Solve for x
    x = 20,226,024,934.76/205,791.80
  6. Step 6: Final answer
    x = 98,283.92

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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.