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Finding the Fourth Proportional to 97,115.38, 134,021.73 and 54,675.43

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Solution

The fourth proportional to 97,115.38, 134,021.73 and 54,675.43 is: 75,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,115.38 : 134,021.73 = 54,675.43 : x
  2. Step 2: Convert to fraction form
    97,115.38/134,021.73 = 54,675.43/x
  3. Step 3: Cross multiply
    97,115.38x = 134,021.73 × 54,675.43
  4. Step 4: Simplify right side
    97,115.38x = 7,327,695,717.09
  5. Step 5: Solve for x
    x = 7,327,695,717.09/97,115.38
  6. Step 6: Final answer
    x = 75,453.50

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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.