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Finding the Fourth Proportional to 104.65, 156.75 and 84.15

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Solution

The fourth proportional to 104.65, 156.75 and 84.15 is: 126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.65 : 156.75 = 84.15 : x
  2. Step 2: Convert to fraction form
    104.65/156.75 = 84.15/x
  3. Step 3: Cross multiply
    104.65x = 156.75 × 84.15
  4. Step 4: Simplify right side
    104.65x = 13,190.51
  5. Step 5: Solve for x
    x = 13,190.51/104.65
  6. Step 6: Final answer
    x = 126.04

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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.