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Finding the Fourth Proportional to 82.37, 123.63 and 59.48

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Solution

The fourth proportional to 82.37, 123.63 and 59.48 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 123.63 = 59.48 : x
  2. Step 2: Convert to fraction form
    82.37/123.63 = 59.48/x
  3. Step 3: Cross multiply
    82.37x = 123.63 × 59.48
  4. Step 4: Simplify right side
    82.37x = 7,353.83
  5. Step 5: Solve for x
    x = 7,353.83/82.37
  6. Step 6: Final answer
    x = 89.28

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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.