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Finding the Fourth Proportional to 135,469.34, 186,949.19 and 75,040.91

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Solution

The fourth proportional to 135,469.34, 186,949.19 and 75,040.91 is: 103,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,469.34 : 186,949.19 = 75,040.91 : x
  2. Step 2: Convert to fraction form
    135,469.34/186,949.19 = 75,040.91/x
  3. Step 3: Cross multiply
    135,469.34x = 186,949.19 × 75,040.91
  4. Step 4: Simplify right side
    135,469.34x = 14,028,837,341.36
  5. Step 5: Solve for x
    x = 14,028,837,341.36/135,469.34
  6. Step 6: Final answer
    x = 103,557.29

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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.