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Finding the Fourth Proportional to 108.85, 150.10 and 77.71

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Solution

The fourth proportional to 108.85, 150.10 and 77.71 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.85 : 150.10 = 77.71 : x
  2. Step 2: Convert to fraction form
    108.85/150.10 = 77.71/x
  3. Step 3: Cross multiply
    108.85x = 150.10 × 77.71
  4. Step 4: Simplify right side
    108.85x = 11,664.27
  5. Step 5: Solve for x
    x = 11,664.27/108.85
  6. Step 6: Final answer
    x = 107.16

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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.