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Finding the Fourth Proportional to 205,455.96, 283,529.21 and 124,868.43

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Solution

The fourth proportional to 205,455.96, 283,529.21 and 124,868.43 is: 172,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,455.96 : 283,529.21 = 124,868.43 : x
  2. Step 2: Convert to fraction form
    205,455.96/283,529.21 = 124,868.43/x
  3. Step 3: Cross multiply
    205,455.96x = 283,529.21 × 124,868.43
  4. Step 4: Simplify right side
    205,455.96x = 35,403,846,687.50
  5. Step 5: Solve for x
    x = 35,403,846,687.50/205,455.96
  6. Step 6: Final answer
    x = 172,318.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.