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Finding the Fourth Proportional to 142.69, 196.98 and 87.45

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Solution

The fourth proportional to 142.69, 196.98 and 87.45 is: 120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.69 : 196.98 = 87.45 : x
  2. Step 2: Convert to fraction form
    142.69/196.98 = 87.45/x
  3. Step 3: Cross multiply
    142.69x = 196.98 × 87.45
  4. Step 4: Simplify right side
    142.69x = 17,225.90
  5. Step 5: Solve for x
    x = 17,225.90/142.69
  6. Step 6: Final answer
    x = 120.72

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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.