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Finding the Fourth Proportional to 189,804.34, 261,933.09 and 113,330.12

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Solution

The fourth proportional to 189,804.34, 261,933.09 and 113,330.12 is: 156,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,804.34 : 261,933.09 = 113,330.12 : x
  2. Step 2: Convert to fraction form
    189,804.34/261,933.09 = 113,330.12/x
  3. Step 3: Cross multiply
    189,804.34x = 261,933.09 × 113,330.12
  4. Step 4: Simplify right side
    189,804.34x = 29,684,907,212.01
  5. Step 5: Solve for x
    x = 29,684,907,212.01/189,804.34
  6. Step 6: Final answer
    x = 156,397.41

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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.