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Finding the Fourth Proportional to 104.67, 157.61 and 77.81

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Solution

The fourth proportional to 104.67, 157.61 and 77.81 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.67 : 157.61 = 77.81 : x
  2. Step 2: Convert to fraction form
    104.67/157.61 = 77.81/x
  3. Step 3: Cross multiply
    104.67x = 157.61 × 77.81
  4. Step 4: Simplify right side
    104.67x = 12,263.04
  5. Step 5: Solve for x
    x = 12,263.04/104.67
  6. Step 6: Final answer
    x = 117.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.