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Finding the Fourth Proportional to 101.92, 140.62 and 65.07

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Solution

The fourth proportional to 101.92, 140.62 and 65.07 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 140.62 = 65.07 : x
  2. Step 2: Convert to fraction form
    101.92/140.62 = 65.07/x
  3. Step 3: Cross multiply
    101.92x = 140.62 × 65.07
  4. Step 4: Simplify right side
    101.92x = 9,150.14
  5. Step 5: Solve for x
    x = 9,150.14/101.92
  6. Step 6: Final answer
    x = 89.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.