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Finding the Fourth Proportional to 74.87, 112.68 and 66.50

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Solution

The fourth proportional to 74.87, 112.68 and 66.50 is: 100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.87 : 112.68 = 66.50 : x
  2. Step 2: Convert to fraction form
    74.87/112.68 = 66.50/x
  3. Step 3: Cross multiply
    74.87x = 112.68 × 66.50
  4. Step 4: Simplify right side
    74.87x = 7,493.22
  5. Step 5: Solve for x
    x = 7,493.22/74.87
  6. Step 6: Final answer
    x = 100.08

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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.