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Finding the Fourth Proportional to 189,830.32, 261,922.32 and 113,334.52

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Solution

The fourth proportional to 189,830.32, 261,922.32 and 113,334.52 is: 156,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,830.32 : 261,922.32 = 113,334.52 : x
  2. Step 2: Convert to fraction form
    189,830.32/261,922.32 = 113,334.52/x
  3. Step 3: Cross multiply
    189,830.32x = 261,922.32 × 113,334.52
  4. Step 4: Simplify right side
    189,830.32x = 29,684,840,414.49
  5. Step 5: Solve for x
    x = 29,684,840,414.49/189,830.32
  6. Step 6: Final answer
    x = 156,375.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.