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Finding the Fourth Proportional to 65.72, 90.75 and 51.14

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Solution

The fourth proportional to 65.72, 90.75 and 51.14 is: 70.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.72 : 90.75 = 51.14 : x
  2. Step 2: Convert to fraction form
    65.72/90.75 = 51.14/x
  3. Step 3: Cross multiply
    65.72x = 90.75 × 51.14
  4. Step 4: Simplify right side
    65.72x = 4,640.70
  5. Step 5: Solve for x
    x = 4,640.70/65.72
  6. Step 6: Final answer
    x = 70.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.