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Finding the Fourth Proportional to 71.68, 107.75 and 56.47

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Solution

The fourth proportional to 71.68, 107.75 and 56.47 is: 84.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.68 : 107.75 = 56.47 : x
  2. Step 2: Convert to fraction form
    71.68/107.75 = 56.47/x
  3. Step 3: Cross multiply
    71.68x = 107.75 × 56.47
  4. Step 4: Simplify right side
    71.68x = 6,084.64
  5. Step 5: Solve for x
    x = 6,084.64/71.68
  6. Step 6: Final answer
    x = 84.89

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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.