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Finding the Fourth Proportional to 51.06, 76.14 and 48.21

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Solution

The fourth proportional to 51.06, 76.14 and 48.21 is: 71.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 76.14 = 48.21 : x
  2. Step 2: Convert to fraction form
    51.06/76.14 = 48.21/x
  3. Step 3: Cross multiply
    51.06x = 76.14 × 48.21
  4. Step 4: Simplify right side
    51.06x = 3,670.71
  5. Step 5: Solve for x
    x = 3,670.71/51.06
  6. Step 6: Final answer
    x = 71.89

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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.