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Finding the Fourth Proportional to 70.93, 105.89 and 58.87

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Solution

The fourth proportional to 70.93, 105.89 and 58.87 is: 87.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.93 : 105.89 = 58.87 : x
  2. Step 2: Convert to fraction form
    70.93/105.89 = 58.87/x
  3. Step 3: Cross multiply
    70.93x = 105.89 × 58.87
  4. Step 4: Simplify right side
    70.93x = 6,233.74
  5. Step 5: Solve for x
    x = 6,233.74/70.93
  6. Step 6: Final answer
    x = 87.89

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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.