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Finding the Fourth Proportional to 205,395.40, 308,093.10 and 116,821.90

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Solution

The fourth proportional to 205,395.40, 308,093.10 and 116,821.90 is: 175,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,395.40 : 308,093.10 = 116,821.90 : x
  2. Step 2: Convert to fraction form
    205,395.40/308,093.10 = 116,821.90/x
  3. Step 3: Cross multiply
    205,395.40x = 308,093.10 × 116,821.90
  4. Step 4: Simplify right side
    205,395.40x = 35,992,021,318.89
  5. Step 5: Solve for x
    x = 35,992,021,318.89/205,395.40
  6. Step 6: Final answer
    x = 175,232.85

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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.