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Finding the Fourth Proportional to 142.24, 196.23 and 89.77

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Solution

The fourth proportional to 142.24, 196.23 and 89.77 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 196.23 = 89.77 : x
  2. Step 2: Convert to fraction form
    142.24/196.23 = 89.77/x
  3. Step 3: Cross multiply
    142.24x = 196.23 × 89.77
  4. Step 4: Simplify right side
    142.24x = 17,615.12
  5. Step 5: Solve for x
    x = 17,615.12/142.24
  6. Step 6: Final answer
    x = 123.84

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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.