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Finding the Fourth Proportional to 189,093.81, 260,949.46 and 113,642.31

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Solution

The fourth proportional to 189,093.81, 260,949.46 and 113,642.31 is: 156,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,093.81 : 260,949.46 = 113,642.31 : x
  2. Step 2: Convert to fraction form
    189,093.81/260,949.46 = 113,642.31/x
  3. Step 3: Cross multiply
    189,093.81x = 260,949.46 × 113,642.31
  4. Step 4: Simplify right side
    189,093.81x = 29,654,899,427.65
  5. Step 5: Solve for x
    x = 29,654,899,427.65/189,093.81
  6. Step 6: Final answer
    x = 156,826.39

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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.