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Finding the Fourth Proportional to 135,704.48, 187,294.59 and 75,294.54

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Solution

The fourth proportional to 135,704.48, 187,294.59 and 75,294.54 is: 103,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,704.48 : 187,294.59 = 75,294.54 : x
  2. Step 2: Convert to fraction form
    135,704.48/187,294.59 = 75,294.54/x
  3. Step 3: Cross multiply
    135,704.48x = 187,294.59 × 75,294.54
  4. Step 4: Simplify right side
    135,704.48x = 14,102,259,998.54
  5. Step 5: Solve for x
    x = 14,102,259,998.54/135,704.48
  6. Step 6: Final answer
    x = 103,918.90

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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.