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Finding the Fourth Proportional to 105.80, 157.81 and 89.72

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Solution

The fourth proportional to 105.80, 157.81 and 89.72 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 157.81 = 89.72 : x
  2. Step 2: Convert to fraction form
    105.80/157.81 = 89.72/x
  3. Step 3: Cross multiply
    105.80x = 157.81 × 89.72
  4. Step 4: Simplify right side
    105.80x = 14,158.71
  5. Step 5: Solve for x
    x = 14,158.71/105.80
  6. Step 6: Final answer
    x = 133.83

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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.