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Finding the Fourth Proportional to 213,802.79, 320,609.41 and 113,944.37

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Solution

The fourth proportional to 213,802.79, 320,609.41 and 113,944.37 is: 170,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,802.79 : 320,609.41 = 113,944.37 : x
  2. Step 2: Convert to fraction form
    213,802.79/320,609.41 = 113,944.37/x
  3. Step 3: Cross multiply
    213,802.79x = 320,609.41 × 113,944.37
  4. Step 4: Simplify right side
    213,802.79x = 36,531,635,350.61
  5. Step 5: Solve for x
    x = 36,531,635,350.61/213,802.79
  6. Step 6: Final answer
    x = 170,866.04

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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.