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Finding the Fourth Proportional to 189,820.70, 285,059.10 and 101,247.20

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Solution

The fourth proportional to 189,820.70, 285,059.10 and 101,247.20 is: 152,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,820.70 : 285,059.10 = 101,247.20 : x
  2. Step 2: Convert to fraction form
    189,820.70/285,059.10 = 101,247.20/x
  3. Step 3: Cross multiply
    189,820.70x = 285,059.10 × 101,247.20
  4. Step 4: Simplify right side
    189,820.70x = 28,861,435,709.52
  5. Step 5: Solve for x
    x = 28,861,435,709.52/189,820.70
  6. Step 6: Final answer
    x = 152,045.78

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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.