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Finding the Fourth Proportional to 206,949.84, 310,424.64 and 55,146.98

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Solution

The fourth proportional to 206,949.84, 310,424.64 and 55,146.98 is: 82,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,949.84 : 310,424.64 = 55,146.98 : x
  2. Step 2: Convert to fraction form
    206,949.84/310,424.64 = 55,146.98/x
  3. Step 3: Cross multiply
    206,949.84x = 310,424.64 × 55,146.98
  4. Step 4: Simplify right side
    206,949.84x = 17,118,981,413.59
  5. Step 5: Solve for x
    x = 17,118,981,413.59/206,949.84
  6. Step 6: Final answer
    x = 82,720.44

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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.