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Finding the Fourth Proportional to 75.70, 112.96 and 68.50

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Solution

The fourth proportional to 75.70, 112.96 and 68.50 is: 102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.70 : 112.96 = 68.50 : x
  2. Step 2: Convert to fraction form
    75.70/112.96 = 68.50/x
  3. Step 3: Cross multiply
    75.70x = 112.96 × 68.50
  4. Step 4: Simplify right side
    75.70x = 7,737.76
  5. Step 5: Solve for x
    x = 7,737.76/75.70
  6. Step 6: Final answer
    x = 102.22

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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.