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Finding the Fourth Proportional to 101.72, 141.31 and 100.77

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Solution

The fourth proportional to 101.72, 141.31 and 100.77 is: 139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.72 : 141.31 = 100.77 : x
  2. Step 2: Convert to fraction form
    101.72/141.31 = 100.77/x
  3. Step 3: Cross multiply
    101.72x = 141.31 × 100.77
  4. Step 4: Simplify right side
    101.72x = 14,238.60
  5. Step 5: Solve for x
    x = 14,238.60/101.72
  6. Step 6: Final answer
    x = 139.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.