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Finding the Fourth Proportional to 61.48, 85 and 47.76

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Solution

The fourth proportional to 61.48, 85 and 47.76 is: 66.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.48 : 85 = 47.76 : x
  2. Step 2: Convert to fraction form
    61.48/85 = 47.76/x
  3. Step 3: Cross multiply
    61.48x = 85 × 47.76
  4. Step 4: Simplify right side
    61.48x = 4,059.60
  5. Step 5: Solve for x
    x = 4,059.60/61.48
  6. Step 6: Final answer
    x = 66.03

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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.