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Finding the Fourth Proportional to 82.60, 123.60 and 73.72

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Solution

The fourth proportional to 82.60, 123.60 and 73.72 is: 110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.60 : 123.60 = 73.72 : x
  2. Step 2: Convert to fraction form
    82.60/123.60 = 73.72/x
  3. Step 3: Cross multiply
    82.60x = 123.60 × 73.72
  4. Step 4: Simplify right side
    82.60x = 9,111.79
  5. Step 5: Solve for x
    x = 9,111.79/82.60
  6. Step 6: Final answer
    x = 110.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.