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Finding the Fourth Proportional to 92.02, 137.87 and 64.83

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Solution

The fourth proportional to 92.02, 137.87 and 64.83 is: 97.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.02 : 137.87 = 64.83 : x
  2. Step 2: Convert to fraction form
    92.02/137.87 = 64.83/x
  3. Step 3: Cross multiply
    92.02x = 137.87 × 64.83
  4. Step 4: Simplify right side
    92.02x = 8,937.95
  5. Step 5: Solve for x
    x = 8,937.95/92.02
  6. Step 6: Final answer
    x = 97.14

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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.