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Finding the Fourth Proportional to 74.51, 111.62 and 70.82

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Solution

The fourth proportional to 74.51, 111.62 and 70.82 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.51 : 111.62 = 70.82 : x
  2. Step 2: Convert to fraction form
    74.51/111.62 = 70.82/x
  3. Step 3: Cross multiply
    74.51x = 111.62 × 70.82
  4. Step 4: Simplify right side
    74.51x = 7,904.02
  5. Step 5: Solve for x
    x = 7,904.02/74.51
  6. Step 6: Final answer
    x = 106.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.