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Finding the Fourth Proportional to 70.68, 105.57 and 58.50

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Solution

The fourth proportional to 70.68, 105.57 and 58.50 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.68 : 105.57 = 58.50 : x
  2. Step 2: Convert to fraction form
    70.68/105.57 = 58.50/x
  3. Step 3: Cross multiply
    70.68x = 105.57 × 58.50
  4. Step 4: Simplify right side
    70.68x = 6,175.85
  5. Step 5: Solve for x
    x = 6,175.85/70.68
  6. Step 6: Final answer
    x = 87.38

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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.