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Finding the Fourth Proportional to 135,481.17, 186,963.99 and 75,055.74

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Solution

The fourth proportional to 135,481.17, 186,963.99 and 75,055.74 is: 103,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,481.17 : 186,963.99 = 75,055.74 : x
  2. Step 2: Convert to fraction form
    135,481.17/186,963.99 = 75,055.74/x
  3. Step 3: Cross multiply
    135,481.17x = 186,963.99 × 75,055.74
  4. Step 4: Simplify right side
    135,481.17x = 14,032,720,622.80
  5. Step 5: Solve for x
    x = 14,032,720,622.80/135,481.17
  6. Step 6: Final answer
    x = 103,576.91

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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.