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Finding the Fourth Proportional to 135,898.81, 187,540.03 and 75,469.27

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Solution

The fourth proportional to 135,898.81, 187,540.03 and 75,469.27 is: 104,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,898.81 : 187,540.03 = 75,469.27 : x
  2. Step 2: Convert to fraction form
    135,898.81/187,540.03 = 75,469.27/x
  3. Step 3: Cross multiply
    135,898.81x = 187,540.03 × 75,469.27
  4. Step 4: Simplify right side
    135,898.81x = 14,153,509,349.26
  5. Step 5: Solve for x
    x = 14,153,509,349.26/135,898.81
  6. Step 6: Final answer
    x = 104,147.41

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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.