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Finding the Fourth Proportional to 92.09, 137.90 and 57.80

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Solution

The fourth proportional to 92.09, 137.90 and 57.80 is: 86.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 137.90 = 57.80 : x
  2. Step 2: Convert to fraction form
    92.09/137.90 = 57.80/x
  3. Step 3: Cross multiply
    92.09x = 137.90 × 57.80
  4. Step 4: Simplify right side
    92.09x = 7,971.11
  5. Step 5: Solve for x
    x = 7,971.11/92.09
  6. Step 6: Final answer
    x = 86.56

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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.