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Finding the Fourth Proportional to 205,046.51, 282,964.46 and 120,163.50

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Solution

The fourth proportional to 205,046.51, 282,964.46 and 120,163.50 is: 165,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,046.51 : 282,964.46 = 120,163.50 : x
  2. Step 2: Convert to fraction form
    205,046.51/282,964.46 = 120,163.50/x
  3. Step 3: Cross multiply
    205,046.51x = 282,964.46 × 120,163.50
  4. Step 4: Simplify right side
    205,046.51x = 34,001,999,288.39
  5. Step 5: Solve for x
    x = 34,001,999,288.39/205,046.51
  6. Step 6: Final answer
    x = 165,825.79

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Why These Related Problems?

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