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Finding the Fourth Proportional to 71.83, 107.63 and 48.97

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Solution

The fourth proportional to 71.83, 107.63 and 48.97 is: 73.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.83 : 107.63 = 48.97 : x
  2. Step 2: Convert to fraction form
    71.83/107.63 = 48.97/x
  3. Step 3: Cross multiply
    71.83x = 107.63 × 48.97
  4. Step 4: Simplify right side
    71.83x = 5,270.71
  5. Step 5: Solve for x
    x = 5,270.71/71.83
  6. Step 6: Final answer
    x = 73.38

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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.