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Finding the Fourth Proportional to 71.74, 107.15 and 55.72

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Solution

The fourth proportional to 71.74, 107.15 and 55.72 is: 83.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 107.15 = 55.72 : x
  2. Step 2: Convert to fraction form
    71.74/107.15 = 55.72/x
  3. Step 3: Cross multiply
    71.74x = 107.15 × 55.72
  4. Step 4: Simplify right side
    71.74x = 5,970.40
  5. Step 5: Solve for x
    x = 5,970.40/71.74
  6. Step 6: Final answer
    x = 83.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.