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Finding the Fourth Proportional to 76.13, 105.06 and 47.03

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Solution

The fourth proportional to 76.13, 105.06 and 47.03 is: 64.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 105.06 = 47.03 : x
  2. Step 2: Convert to fraction form
    76.13/105.06 = 47.03/x
  3. Step 3: Cross multiply
    76.13x = 105.06 × 47.03
  4. Step 4: Simplify right side
    76.13x = 4,940.45
  5. Step 5: Solve for x
    x = 4,940.45/76.13
  6. Step 6: Final answer
    x = 64.90

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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.