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Finding the Fourth Proportional to 142.59, 196.32 and 117.99

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Solution

The fourth proportional to 142.59, 196.32 and 117.99 is: 162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 196.32 = 117.99 : x
  2. Step 2: Convert to fraction form
    142.59/196.32 = 117.99/x
  3. Step 3: Cross multiply
    142.59x = 196.32 × 117.99
  4. Step 4: Simplify right side
    142.59x = 23,163.80
  5. Step 5: Solve for x
    x = 23,163.80/142.59
  6. Step 6: Final answer
    x = 162.45

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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.