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Finding the Fourth Proportional to 213,846.11, 320,840.42 and 71,705.43

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Solution

The fourth proportional to 213,846.11, 320,840.42 and 71,705.43 is: 107,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.11 : 320,840.42 = 71,705.43 : x
  2. Step 2: Convert to fraction form
    213,846.11/320,840.42 = 71,705.43/x
  3. Step 3: Cross multiply
    213,846.11x = 320,840.42 × 71,705.43
  4. Step 4: Simplify right side
    213,846.11x = 23,005,999,918.95
  5. Step 5: Solve for x
    x = 23,005,999,918.95/213,846.11
  6. Step 6: Final answer
    x = 107,582.04

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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.