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Finding the Fourth Proportional to 79.62, 109.93 and 51.98

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Solution

The fourth proportional to 79.62, 109.93 and 51.98 is: 71.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.62 : 109.93 = 51.98 : x
  2. Step 2: Convert to fraction form
    79.62/109.93 = 51.98/x
  3. Step 3: Cross multiply
    79.62x = 109.93 × 51.98
  4. Step 4: Simplify right side
    79.62x = 5,714.02
  5. Step 5: Solve for x
    x = 5,714.02/79.62
  6. Step 6: Final answer
    x = 71.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.