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Finding the Fourth Proportional to 189,469.60, 284,306.80 and 84,304.80

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Solution

The fourth proportional to 189,469.60, 284,306.80 and 84,304.80 is: 126,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469.60 : 284,306.80 = 84,304.80 : x
  2. Step 2: Convert to fraction form
    189,469.60/284,306.80 = 84,304.80/x
  3. Step 3: Cross multiply
    189,469.60x = 284,306.80 × 84,304.80
  4. Step 4: Simplify right side
    189,469.60x = 23,968,427,912.64
  5. Step 5: Solve for x
    x = 23,968,427,912.64/189,469.60
  6. Step 6: Final answer
    x = 126,502.76

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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.