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Finding the Fourth Proportional to 142.98, 197.47 and 94.07

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Solution

The fourth proportional to 142.98, 197.47 and 94.07 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.98 : 197.47 = 94.07 : x
  2. Step 2: Convert to fraction form
    142.98/197.47 = 94.07/x
  3. Step 3: Cross multiply
    142.98x = 197.47 × 94.07
  4. Step 4: Simplify right side
    142.98x = 18,576.61
  5. Step 5: Solve for x
    x = 18,576.61/142.98
  6. Step 6: Final answer
    x = 129.93

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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.