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Finding the Fourth Proportional to 79.62, 109.76 and 70.92

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Solution

The fourth proportional to 79.62, 109.76 and 70.92 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.62 : 109.76 = 70.92 : x
  2. Step 2: Convert to fraction form
    79.62/109.76 = 70.92/x
  3. Step 3: Cross multiply
    79.62x = 109.76 × 70.92
  4. Step 4: Simplify right side
    79.62x = 7,784.18
  5. Step 5: Solve for x
    x = 7,784.18/79.62
  6. Step 6: Final answer
    x = 97.77

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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.