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Finding the Fourth Proportional to 51.12, 70.92 and 48.24

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Solution

The fourth proportional to 51.12, 70.92 and 48.24 is: 66.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.12 : 70.92 = 48.24 : x
  2. Step 2: Convert to fraction form
    51.12/70.92 = 48.24/x
  3. Step 3: Cross multiply
    51.12x = 70.92 × 48.24
  4. Step 4: Simplify right side
    51.12x = 3,421.18
  5. Step 5: Solve for x
    x = 3,421.18/51.12
  6. Step 6: Final answer
    x = 66.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.