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Finding the Fourth Proportional to 189,405.70, 284,436.60 and 100,832.20

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Solution

The fourth proportional to 189,405.70, 284,436.60 and 100,832.20 is: 151,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,405.70 : 284,436.60 = 100,832.20 : x
  2. Step 2: Convert to fraction form
    189,405.70/284,436.60 = 100,832.20/x
  3. Step 3: Cross multiply
    189,405.70x = 284,436.60 × 100,832.20
  4. Step 4: Simplify right side
    189,405.70x = 28,680,368,138.52
  5. Step 5: Solve for x
    x = 28,680,368,138.52/189,405.70
  6. Step 6: Final answer
    x = 151,422.94

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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.