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Finding the Fourth Proportional to 142.02, 195.90 and 100.50

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Solution

The fourth proportional to 142.02, 195.90 and 100.50 is: 138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.02 : 195.90 = 100.50 : x
  2. Step 2: Convert to fraction form
    142.02/195.90 = 100.50/x
  3. Step 3: Cross multiply
    142.02x = 195.90 × 100.50
  4. Step 4: Simplify right side
    142.02x = 19,687.95
  5. Step 5: Solve for x
    x = 19,687.95/142.02
  6. Step 6: Final answer
    x = 138.63

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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.