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Finding the Fourth Proportional to 123.60, 170.64 and 82.22

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Solution

The fourth proportional to 123.60, 170.64 and 82.22 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 170.64 = 82.22 : x
  2. Step 2: Convert to fraction form
    123.60/170.64 = 82.22/x
  3. Step 3: Cross multiply
    123.60x = 170.64 × 82.22
  4. Step 4: Simplify right side
    123.60x = 14,030.02
  5. Step 5: Solve for x
    x = 14,030.02/123.60
  6. Step 6: Final answer
    x = 113.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.