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Finding the Fourth Proportional to 72.75, 108.93 and 47.00

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Solution

The fourth proportional to 72.75, 108.93 and 47.00 is: 70.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.75 : 108.93 = 47.00 : x
  2. Step 2: Convert to fraction form
    72.75/108.93 = 47.00/x
  3. Step 3: Cross multiply
    72.75x = 108.93 × 47.00
  4. Step 4: Simplify right side
    72.75x = 5,119.17
  5. Step 5: Solve for x
    x = 5,119.17/72.75
  6. Step 6: Final answer
    x = 70.37

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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.