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Finding the Fourth Proportional to 92.73, 139.13 and 56.24

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Solution

The fourth proportional to 92.73, 139.13 and 56.24 is: 84.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.73 : 139.13 = 56.24 : x
  2. Step 2: Convert to fraction form
    92.73/139.13 = 56.24/x
  3. Step 3: Cross multiply
    92.73x = 139.13 × 56.24
  4. Step 4: Simplify right side
    92.73x = 7,825.16
  5. Step 5: Solve for x
    x = 7,825.16/92.73
  6. Step 6: Final answer
    x = 84.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.