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Finding the Fourth Proportional to 48.21, 71.90 and 47.13

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Solution

The fourth proportional to 48.21, 71.90 and 47.13 is: 70.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.21 : 71.90 = 47.13 : x
  2. Step 2: Convert to fraction form
    48.21/71.90 = 47.13/x
  3. Step 3: Cross multiply
    48.21x = 71.90 × 47.13
  4. Step 4: Simplify right side
    48.21x = 3,388.41
  5. Step 5: Solve for x
    x = 3,388.41/48.21
  6. Step 6: Final answer
    x = 70.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.