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Finding the Fourth Proportional to 75.66, 114.06 and 73.50

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Solution

The fourth proportional to 75.66, 114.06 and 73.50 is: 110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 114.06 = 73.50 : x
  2. Step 2: Convert to fraction form
    75.66/114.06 = 73.50/x
  3. Step 3: Cross multiply
    75.66x = 114.06 × 73.50
  4. Step 4: Simplify right side
    75.66x = 8,383.41
  5. Step 5: Solve for x
    x = 8,383.41/75.66
  6. Step 6: Final answer
    x = 110.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.