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Finding the Fourth Proportional to 142.10, 196.19 and 92.35

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Solution

The fourth proportional to 142.10, 196.19 and 92.35 is: 127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 196.19 = 92.35 : x
  2. Step 2: Convert to fraction form
    142.10/196.19 = 92.35/x
  3. Step 3: Cross multiply
    142.10x = 196.19 × 92.35
  4. Step 4: Simplify right side
    142.10x = 18,118.15
  5. Step 5: Solve for x
    x = 18,118.15/142.10
  6. Step 6: Final answer
    x = 127.50

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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.