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Finding the Fourth Proportional to 71.83, 107.19 and 70

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Solution

The fourth proportional to 71.83, 107.19 and 70 is: 104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.83 : 107.19 = 70 : x
  2. Step 2: Convert to fraction form
    71.83/107.19 = 70/x
  3. Step 3: Cross multiply
    71.83x = 107.19 × 70
  4. Step 4: Simplify right side
    71.83x = 7,503.30
  5. Step 5: Solve for x
    x = 7,503.30/71.83
  6. Step 6: Final answer
    x = 104.46

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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.