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Finding the Fourth Proportional to 75.81, 113.16 and 71.70

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Solution

The fourth proportional to 75.81, 113.16 and 71.70 is: 107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.81 : 113.16 = 71.70 : x
  2. Step 2: Convert to fraction form
    75.81/113.16 = 71.70/x
  3. Step 3: Cross multiply
    75.81x = 113.16 × 71.70
  4. Step 4: Simplify right side
    75.81x = 8,113.57
  5. Step 5: Solve for x
    x = 8,113.57/75.81
  6. Step 6: Final answer
    x = 107.03

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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.