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Finding the Fourth Proportional to 74.90, 102.92 and 61.76

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Solution

The fourth proportional to 74.90, 102.92 and 61.76 is: 84.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.90 : 102.92 = 61.76 : x
  2. Step 2: Convert to fraction form
    74.90/102.92 = 61.76/x
  3. Step 3: Cross multiply
    74.90x = 102.92 × 61.76
  4. Step 4: Simplify right side
    74.90x = 6,356.34
  5. Step 5: Solve for x
    x = 6,356.34/74.90
  6. Step 6: Final answer
    x = 84.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.