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Finding the Fourth Proportional to 65.12, 89.78 and 50.54

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Solution

The fourth proportional to 65.12, 89.78 and 50.54 is: 69.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 89.78 = 50.54 : x
  2. Step 2: Convert to fraction form
    65.12/89.78 = 50.54/x
  3. Step 3: Cross multiply
    65.12x = 89.78 × 50.54
  4. Step 4: Simplify right side
    65.12x = 4,536.78
  5. Step 5: Solve for x
    x = 4,536.78/65.12
  6. Step 6: Final answer
    x = 69.67

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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.