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Finding the Fourth Proportional to 108.96, 162.74 and 78.50

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Solution

The fourth proportional to 108.96, 162.74 and 78.50 is: 117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.96 : 162.74 = 78.50 : x
  2. Step 2: Convert to fraction form
    108.96/162.74 = 78.50/x
  3. Step 3: Cross multiply
    108.96x = 162.74 × 78.50
  4. Step 4: Simplify right side
    108.96x = 12,775.69
  5. Step 5: Solve for x
    x = 12,775.69/108.96
  6. Step 6: Final answer
    x = 117.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.