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Finding the Fourth Proportional to 73.90, 111.40 and 66.16

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Solution

The fourth proportional to 73.90, 111.40 and 66.16 is: 99.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.90 : 111.40 = 66.16 : x
  2. Step 2: Convert to fraction form
    73.90/111.40 = 66.16/x
  3. Step 3: Cross multiply
    73.90x = 111.40 × 66.16
  4. Step 4: Simplify right side
    73.90x = 7,370.22
  5. Step 5: Solve for x
    x = 7,370.22/73.90
  6. Step 6: Final answer
    x = 99.73

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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.