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Finding the Fourth Proportional to 205,807.16, 283,923.72 and 120,885.92

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Solution

The fourth proportional to 205,807.16, 283,923.72 and 120,885.92 is: 166,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,807.16 : 283,923.72 = 120,885.92 : x
  2. Step 2: Convert to fraction form
    205,807.16/283,923.72 = 120,885.92/x
  3. Step 3: Cross multiply
    205,807.16x = 283,923.72 × 120,885.92
  4. Step 4: Simplify right side
    205,807.16x = 34,322,380,102.02
  5. Step 5: Solve for x
    x = 34,322,380,102.02/205,807.16
  6. Step 6: Final answer
    x = 166,769.61

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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.