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Finding the Fourth Proportional to 123.67, 185.51 and 59.53

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Solution

The fourth proportional to 123.67, 185.51 and 59.53 is: 89.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.67 : 185.51 = 59.53 : x
  2. Step 2: Convert to fraction form
    123.67/185.51 = 59.53/x
  3. Step 3: Cross multiply
    123.67x = 185.51 × 59.53
  4. Step 4: Simplify right side
    123.67x = 11,043.11
  5. Step 5: Solve for x
    x = 11,043.11/123.67
  6. Step 6: Final answer
    x = 89.30

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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.