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Finding the Fourth Proportional to 104.61, 156.21 and 80.58

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Solution

The fourth proportional to 104.61, 156.21 and 80.58 is: 120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.61 : 156.21 = 80.58 : x
  2. Step 2: Convert to fraction form
    104.61/156.21 = 80.58/x
  3. Step 3: Cross multiply
    104.61x = 156.21 × 80.58
  4. Step 4: Simplify right side
    104.61x = 12,587.40
  5. Step 5: Solve for x
    x = 12,587.40/104.61
  6. Step 6: Final answer
    x = 120.33

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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.