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Finding the Fourth Proportional to 66.85, 100.29 and 47.62

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Solution

The fourth proportional to 66.85, 100.29 and 47.62 is: 71.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.85 : 100.29 = 47.62 : x
  2. Step 2: Convert to fraction form
    66.85/100.29 = 47.62/x
  3. Step 3: Cross multiply
    66.85x = 100.29 × 47.62
  4. Step 4: Simplify right side
    66.85x = 4,775.81
  5. Step 5: Solve for x
    x = 4,775.81/66.85
  6. Step 6: Final answer
    x = 71.44

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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.