Home / 205,812.64-283,902.48-120,912.16

Finding the Fourth Proportional to 205,812.64, 283,902.48 and 120,912.16

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Solution

The fourth proportional to 205,812.64, 283,902.48 and 120,912.16 is: 166,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.64 : 283,902.48 = 120,912.16 : x
  2. Step 2: Convert to fraction form
    205,812.64/283,902.48 = 120,912.16/x
  3. Step 3: Cross multiply
    205,812.64x = 283,902.48 × 120,912.16
  4. Step 4: Simplify right side
    205,812.64x = 34,327,262,086.16
  5. Step 5: Solve for x
    x = 34,327,262,086.16/205,812.64
  6. Step 6: Final answer
    x = 166,788.89

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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.