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Finding the Fourth Proportional to 142.10, 196.13 and 100.66

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Solution

The fourth proportional to 142.10, 196.13 and 100.66 is: 138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 196.13 = 100.66 : x
  2. Step 2: Convert to fraction form
    142.10/196.13 = 100.66/x
  3. Step 3: Cross multiply
    142.10x = 196.13 × 100.66
  4. Step 4: Simplify right side
    142.10x = 19,742.29
  5. Step 5: Solve for x
    x = 19,742.29/142.10
  6. Step 6: Final answer
    x = 138.93

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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.