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Finding the Fourth Proportional to 61, 91.16 and 50.80

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Solution

The fourth proportional to 61, 91.16 and 50.80 is: 75.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61 : 91.16 = 50.80 : x
  2. Step 2: Convert to fraction form
    61/91.16 = 50.80/x
  3. Step 3: Cross multiply
    61x = 91.16 × 50.80
  4. Step 4: Simplify right side
    61x = 4,630.93
  5. Step 5: Solve for x
    x = 4,630.93/61
  6. Step 6: Final answer
    x = 75.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.