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Finding the Fourth Proportional to 67.50, 92.46 and 61.02

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Solution

The fourth proportional to 67.50, 92.46 and 61.02 is: 83.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 92.46 = 61.02 : x
  2. Step 2: Convert to fraction form
    67.50/92.46 = 61.02/x
  3. Step 3: Cross multiply
    67.50x = 92.46 × 61.02
  4. Step 4: Simplify right side
    67.50x = 5,641.91
  5. Step 5: Solve for x
    x = 5,641.91/67.50
  6. Step 6: Final answer
    x = 83.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.