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Finding the Fourth Proportional to 213,802.05, 320,691.47 and 80,679.09

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Solution

The fourth proportional to 213,802.05, 320,691.47 and 80,679.09 is: 121,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,802.05 : 320,691.47 = 80,679.09 : x
  2. Step 2: Convert to fraction form
    213,802.05/320,691.47 = 80,679.09/x
  3. Step 3: Cross multiply
    213,802.05x = 320,691.47 × 80,679.09
  4. Step 4: Simplify right side
    213,802.05x = 25,873,095,566.97
  5. Step 5: Solve for x
    x = 25,873,095,566.97/213,802.05
  6. Step 6: Final answer
    x = 121,014.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.