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Finding the Fourth Proportional to 189,285.35, 284,340.33 and 114,440.76

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Solution

The fourth proportional to 189,285.35, 284,340.33 and 114,440.76 is: 171,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,285.35 : 284,340.33 = 114,440.76 : x
  2. Step 2: Convert to fraction form
    189,285.35/284,340.33 = 114,440.76/x
  3. Step 3: Cross multiply
    189,285.35x = 284,340.33 × 114,440.76
  4. Step 4: Simplify right side
    189,285.35x = 32,540,123,463.85
  5. Step 5: Solve for x
    x = 32,540,123,463.85/189,285.35
  6. Step 6: Final answer
    x = 171,910.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.