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Finding the Fourth Proportional to 105.77, 146.01 and 72.59

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Solution

The fourth proportional to 105.77, 146.01 and 72.59 is: 100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 146.01 = 72.59 : x
  2. Step 2: Convert to fraction form
    105.77/146.01 = 72.59/x
  3. Step 3: Cross multiply
    105.77x = 146.01 × 72.59
  4. Step 4: Simplify right side
    105.77x = 10,598.87
  5. Step 5: Solve for x
    x = 10,598.87/105.77
  6. Step 6: Final answer
    x = 100.21

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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.