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Finding the Fourth Proportional to 75.81, 112.90 and 73.87

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Solution

The fourth proportional to 75.81, 112.90 and 73.87 is: 110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.81 : 112.90 = 73.87 : x
  2. Step 2: Convert to fraction form
    75.81/112.90 = 73.87/x
  3. Step 3: Cross multiply
    75.81x = 112.90 × 73.87
  4. Step 4: Simplify right side
    75.81x = 8,339.92
  5. Step 5: Solve for x
    x = 8,339.92/75.81
  6. Step 6: Final answer
    x = 110.01

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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.