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Finding the Fourth Proportional to 79.35, 109.53 and 72.06

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Solution

The fourth proportional to 79.35, 109.53 and 72.06 is: 99.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.35 : 109.53 = 72.06 : x
  2. Step 2: Convert to fraction form
    79.35/109.53 = 72.06/x
  3. Step 3: Cross multiply
    79.35x = 109.53 × 72.06
  4. Step 4: Simplify right side
    79.35x = 7,892.73
  5. Step 5: Solve for x
    x = 7,892.73/79.35
  6. Step 6: Final answer
    x = 99.47

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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.