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Finding the Fourth Proportional to 134.14, 184.99 and 87.50

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Solution

The fourth proportional to 134.14, 184.99 and 87.50 is: 120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.14 : 184.99 = 87.50 : x
  2. Step 2: Convert to fraction form
    134.14/184.99 = 87.50/x
  3. Step 3: Cross multiply
    134.14x = 184.99 × 87.50
  4. Step 4: Simplify right side
    134.14x = 16,185.48
  5. Step 5: Solve for x
    x = 16,185.48/134.14
  6. Step 6: Final answer
    x = 120.66

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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.