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Finding the Fourth Proportional to 104.02, 156.30 and 81.07

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Solution

The fourth proportional to 104.02, 156.30 and 81.07 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.02 : 156.30 = 81.07 : x
  2. Step 2: Convert to fraction form
    104.02/156.30 = 81.07/x
  3. Step 3: Cross multiply
    104.02x = 156.30 × 81.07
  4. Step 4: Simplify right side
    104.02x = 12,671.24
  5. Step 5: Solve for x
    x = 12,671.24/104.02
  6. Step 6: Final answer
    x = 121.82

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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.