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Finding the Fourth Proportional to 71.12, 107.14 and 62.09

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Solution

The fourth proportional to 71.12, 107.14 and 62.09 is: 93.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 107.14 = 62.09 : x
  2. Step 2: Convert to fraction form
    71.12/107.14 = 62.09/x
  3. Step 3: Cross multiply
    71.12x = 107.14 × 62.09
  4. Step 4: Simplify right side
    71.12x = 6,652.01
  5. Step 5: Solve for x
    x = 6,652.01/71.12
  6. Step 6: Final answer
    x = 93.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.