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Finding the Fourth Proportional to 134.64, 201.90 and 47.99

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Solution

The fourth proportional to 134.64, 201.90 and 47.99 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.64 : 201.90 = 47.99 : x
  2. Step 2: Convert to fraction form
    134.64/201.90 = 47.99/x
  3. Step 3: Cross multiply
    134.64x = 201.90 × 47.99
  4. Step 4: Simplify right side
    134.64x = 9,689.36
  5. Step 5: Solve for x
    x = 9,689.36/134.64
  6. Step 6: Final answer
    x = 71.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.