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Finding the Fourth Proportional to 48.14, 72.66 and 47.87

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Solution

The fourth proportional to 48.14, 72.66 and 47.87 is: 72.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.14 : 72.66 = 47.87 : x
  2. Step 2: Convert to fraction form
    48.14/72.66 = 47.87/x
  3. Step 3: Cross multiply
    48.14x = 72.66 × 47.87
  4. Step 4: Simplify right side
    48.14x = 3,478.05
  5. Step 5: Solve for x
    x = 3,478.05/48.14
  6. Step 6: Final answer
    x = 72.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.