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Finding the Fourth Proportional to 189,735.96, 261,804.06 and 113,286

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Solution

The fourth proportional to 189,735.96, 261,804.06 and 113,286 is: 156,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.96 : 261,804.06 = 113,286 : x
  2. Step 2: Convert to fraction form
    189,735.96/261,804.06 = 113,286/x
  3. Step 3: Cross multiply
    189,735.96x = 261,804.06 × 113,286
  4. Step 4: Simplify right side
    189,735.96x = 29,658,734,741.16
  5. Step 5: Solve for x
    x = 29,658,734,741.16/189,735.96
  6. Step 6: Final answer
    x = 156,315.83

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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.