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Finding the Fourth Proportional to 102.52, 139.56 and 101.94

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Solution

The fourth proportional to 102.52, 139.56 and 101.94 is: 138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 139.56 = 101.94 : x
  2. Step 2: Convert to fraction form
    102.52/139.56 = 101.94/x
  3. Step 3: Cross multiply
    102.52x = 139.56 × 101.94
  4. Step 4: Simplify right side
    102.52x = 14,226.75
  5. Step 5: Solve for x
    x = 14,226.75/102.52
  6. Step 6: Final answer
    x = 138.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.