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Finding the Fourth Proportional to 69.74, 96.14 and 47.87

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Solution

The fourth proportional to 69.74, 96.14 and 47.87 is: 65.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 96.14 = 47.87 : x
  2. Step 2: Convert to fraction form
    69.74/96.14 = 47.87/x
  3. Step 3: Cross multiply
    69.74x = 96.14 × 47.87
  4. Step 4: Simplify right side
    69.74x = 4,602.22
  5. Step 5: Solve for x
    x = 4,602.22/69.74
  6. Step 6: Final answer
    x = 65.99

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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.