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Finding the Fourth Proportional to 61.73, 92.51 and 36.02

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Solution

The fourth proportional to 61.73, 92.51 and 36.02 is: 53.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.73 : 92.51 = 36.02 : x
  2. Step 2: Convert to fraction form
    61.73/92.51 = 36.02/x
  3. Step 3: Cross multiply
    61.73x = 92.51 × 36.02
  4. Step 4: Simplify right side
    61.73x = 3,332.21
  5. Step 5: Solve for x
    x = 3,332.21/61.73
  6. Step 6: Final answer
    x = 53.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.