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Finding the Fourth Proportional to 105.64, 159.18 and 87.75

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Solution

The fourth proportional to 105.64, 159.18 and 87.75 is: 132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 159.18 = 87.75 : x
  2. Step 2: Convert to fraction form
    105.64/159.18 = 87.75/x
  3. Step 3: Cross multiply
    105.64x = 159.18 × 87.75
  4. Step 4: Simplify right side
    105.64x = 13,967.72
  5. Step 5: Solve for x
    x = 13,967.72/105.64
  6. Step 6: Final answer
    x = 132.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.