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Finding the Fourth Proportional to 105.02, 157.34 and 87.88

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Solution

The fourth proportional to 105.02, 157.34 and 87.88 is: 131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 157.34 = 87.88 : x
  2. Step 2: Convert to fraction form
    105.02/157.34 = 87.88/x
  3. Step 3: Cross multiply
    105.02x = 157.34 × 87.88
  4. Step 4: Simplify right side
    105.02x = 13,827.04
  5. Step 5: Solve for x
    x = 13,827.04/105.02
  6. Step 6: Final answer
    x = 131.66

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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.