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Finding the Fourth Proportional to 189,682.88, 284,540.72 and 49,441.50

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Solution

The fourth proportional to 189,682.88, 284,540.72 and 49,441.50 is: 74,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,682.88 : 284,540.72 = 49,441.50 : x
  2. Step 2: Convert to fraction form
    189,682.88/284,540.72 = 49,441.50/x
  3. Step 3: Cross multiply
    189,682.88x = 284,540.72 × 49,441.50
  4. Step 4: Simplify right side
    189,682.88x = 14,068,119,760.67
  5. Step 5: Solve for x
    x = 14,068,119,760.67/189,682.88
  6. Step 6: Final answer
    x = 74,166.53

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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.