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Finding the Fourth Proportional to 108.53, 162.44 and 78

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Solution

The fourth proportional to 108.53, 162.44 and 78 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.53 : 162.44 = 78 : x
  2. Step 2: Convert to fraction form
    108.53/162.44 = 78/x
  3. Step 3: Cross multiply
    108.53x = 162.44 × 78
  4. Step 4: Simplify right side
    108.53x = 12,670.32
  5. Step 5: Solve for x
    x = 12,670.32/108.53
  6. Step 6: Final answer
    x = 116.74

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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.