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Finding the Fourth Proportional to 76.67, 105.74 and 53.43

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Solution

The fourth proportional to 76.67, 105.74 and 53.43 is: 73.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.67 : 105.74 = 53.43 : x
  2. Step 2: Convert to fraction form
    76.67/105.74 = 53.43/x
  3. Step 3: Cross multiply
    76.67x = 105.74 × 53.43
  4. Step 4: Simplify right side
    76.67x = 5,650.34
  5. Step 5: Solve for x
    x = 5,650.34/76.67
  6. Step 6: Final answer
    x = 73.70

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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.