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Finding the Fourth Proportional to 101.76, 139.73 and 101.35

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Solution

The fourth proportional to 101.76, 139.73 and 101.35 is: 139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.76 : 139.73 = 101.35 : x
  2. Step 2: Convert to fraction form
    101.76/139.73 = 101.35/x
  3. Step 3: Cross multiply
    101.76x = 139.73 × 101.35
  4. Step 4: Simplify right side
    101.76x = 14,161.30
  5. Step 5: Solve for x
    x = 14,161.30/101.76
  6. Step 6: Final answer
    x = 139.17

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Why These Related Problems?

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