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Finding the Fourth Proportional to 189,294.06, 261,189.45 and 113,847.42

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Solution

The fourth proportional to 189,294.06, 261,189.45 and 113,847.42 is: 157,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,294.06 : 261,189.45 = 113,847.42 : x
  2. Step 2: Convert to fraction form
    189,294.06/261,189.45 = 113,847.42/x
  3. Step 3: Cross multiply
    189,294.06x = 261,189.45 × 113,847.42
  4. Step 4: Simplify right side
    189,294.06x = 29,735,745,013.72
  5. Step 5: Solve for x
    x = 29,735,745,013.72/189,294.06
  6. Step 6: Final answer
    x = 157,087.58

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