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Finding the Fourth Proportional to 189,498.93, 284,396.90 and 132,200.21

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Solution

The fourth proportional to 189,498.93, 284,396.90 and 132,200.21 is: 198,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,498.93 : 284,396.90 = 132,200.21 : x
  2. Step 2: Convert to fraction form
    189,498.93/284,396.90 = 132,200.21/x
  3. Step 3: Cross multiply
    189,498.93x = 284,396.90 × 132,200.21
  4. Step 4: Simplify right side
    189,498.93x = 37,597,327,820.36
  5. Step 5: Solve for x
    x = 37,597,327,820.36/189,498.93
  6. Step 6: Final answer
    x = 198,403.91

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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.