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Finding the Fourth Proportional to 61.67, 85.05 and 37.10

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Solution

The fourth proportional to 61.67, 85.05 and 37.10 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 85.05 = 37.10 : x
  2. Step 2: Convert to fraction form
    61.67/85.05 = 37.10/x
  3. Step 3: Cross multiply
    61.67x = 85.05 × 37.10
  4. Step 4: Simplify right side
    61.67x = 3,154.93
  5. Step 5: Solve for x
    x = 3,154.93/61.67
  6. Step 6: Final answer
    x = 51.16

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