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Finding the Fourth Proportional to 189,469.40, 284,390.94 and 100,723.64

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Solution

The fourth proportional to 189,469.40, 284,390.94 and 100,723.64 is: 151,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469.40 : 284,390.94 = 100,723.64 : x
  2. Step 2: Convert to fraction form
    189,469.40/284,390.94 = 100,723.64/x
  3. Step 3: Cross multiply
    189,469.40x = 284,390.94 × 100,723.64
  4. Step 4: Simplify right side
    189,469.40x = 28,644,890,659.82
  5. Step 5: Solve for x
    x = 28,644,890,659.82/189,469.40
  6. Step 6: Final answer
    x = 151,184.79

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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.