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Finding the Fourth Proportional to 102.49, 153.81 and 47.62

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Solution

The fourth proportional to 102.49, 153.81 and 47.62 is: 71.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 153.81 = 47.62 : x
  2. Step 2: Convert to fraction form
    102.49/153.81 = 47.62/x
  3. Step 3: Cross multiply
    102.49x = 153.81 × 47.62
  4. Step 4: Simplify right side
    102.49x = 7,324.43
  5. Step 5: Solve for x
    x = 7,324.43/102.49
  6. Step 6: Final answer
    x = 71.46

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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.