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Finding the Fourth Proportional to 74.91, 102.05 and 73.43

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Solution

The fourth proportional to 74.91, 102.05 and 73.43 is: 100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.91 : 102.05 = 73.43 : x
  2. Step 2: Convert to fraction form
    74.91/102.05 = 73.43/x
  3. Step 3: Cross multiply
    74.91x = 102.05 × 73.43
  4. Step 4: Simplify right side
    74.91x = 7,492.65
  5. Step 5: Solve for x
    x = 7,492.65/74.91
  6. Step 6: Final answer
    x = 100.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.