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Finding the Fourth Proportional to 142.24, 196.34 and 87.02

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Solution

The fourth proportional to 142.24, 196.34 and 87.02 is: 120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 196.34 = 87.02 : x
  2. Step 2: Convert to fraction form
    142.24/196.34 = 87.02/x
  3. Step 3: Cross multiply
    142.24x = 196.34 × 87.02
  4. Step 4: Simplify right side
    142.24x = 17,085.51
  5. Step 5: Solve for x
    x = 17,085.51/142.24
  6. Step 6: Final answer
    x = 120.12

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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.