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Finding the Fourth Proportional to 61.54, 91.48 and 59.72

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Solution

The fourth proportional to 61.54, 91.48 and 59.72 is: 88.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.54 : 91.48 = 59.72 : x
  2. Step 2: Convert to fraction form
    61.54/91.48 = 59.72/x
  3. Step 3: Cross multiply
    61.54x = 91.48 × 59.72
  4. Step 4: Simplify right side
    61.54x = 5,463.33
  5. Step 5: Solve for x
    x = 5,463.33/61.54
  6. Step 6: Final answer
    x = 88.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.