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Finding the Fourth Proportional to 87.69, 131.52 and 53.47

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Solution

The fourth proportional to 87.69, 131.52 and 53.47 is: 80.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.69 : 131.52 = 53.47 : x
  2. Step 2: Convert to fraction form
    87.69/131.52 = 53.47/x
  3. Step 3: Cross multiply
    87.69x = 131.52 × 53.47
  4. Step 4: Simplify right side
    87.69x = 7,032.37
  5. Step 5: Solve for x
    x = 7,032.37/87.69
  6. Step 6: Final answer
    x = 80.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.