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Finding the Fourth Proportional to 79.53, 109.61 and 73.00

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Solution

The fourth proportional to 79.53, 109.61 and 73.00 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.53 : 109.61 = 73.00 : x
  2. Step 2: Convert to fraction form
    79.53/109.61 = 73.00/x
  3. Step 3: Cross multiply
    79.53x = 109.61 × 73.00
  4. Step 4: Simplify right side
    79.53x = 8,000.98
  5. Step 5: Solve for x
    x = 8,000.98/79.53
  6. Step 6: Final answer
    x = 100.61

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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.