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Finding the Fourth Proportional to 101.76, 139.50 and 100.34

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Solution

The fourth proportional to 101.76, 139.50 and 100.34 is: 137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.76 : 139.50 = 100.34 : x
  2. Step 2: Convert to fraction form
    101.76/139.50 = 100.34/x
  3. Step 3: Cross multiply
    101.76x = 139.50 × 100.34
  4. Step 4: Simplify right side
    101.76x = 13,997.43
  5. Step 5: Solve for x
    x = 13,997.43/101.76
  6. Step 6: Final answer
    x = 137.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.