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Finding the Fourth Proportional to 73.87, 111.17 and 65.50

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Solution

The fourth proportional to 73.87, 111.17 and 65.50 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.87 : 111.17 = 65.50 : x
  2. Step 2: Convert to fraction form
    73.87/111.17 = 65.50/x
  3. Step 3: Cross multiply
    73.87x = 111.17 × 65.50
  4. Step 4: Simplify right side
    73.87x = 7,281.36
  5. Step 5: Solve for x
    x = 7,281.36/73.87
  6. Step 6: Final answer
    x = 98.57

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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.