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Finding the Fourth Proportional to 67.50, 93.09 and 51.09

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Solution

The fourth proportional to 67.50, 93.09 and 51.09 is: 70.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 93.09 = 51.09 : x
  2. Step 2: Convert to fraction form
    67.50/93.09 = 51.09/x
  3. Step 3: Cross multiply
    67.50x = 93.09 × 51.09
  4. Step 4: Simplify right side
    67.50x = 4,755.97
  5. Step 5: Solve for x
    x = 4,755.97/67.50
  6. Step 6: Final answer
    x = 70.46

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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.