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Finding the Fourth Proportional to 213,634.14, 320,352.54 and 78,664.31

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Solution

The fourth proportional to 213,634.14, 320,352.54 and 78,664.31 is: 117,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,634.14 : 320,352.54 = 78,664.31 : x
  2. Step 2: Convert to fraction form
    213,634.14/320,352.54 = 78,664.31/x
  3. Step 3: Cross multiply
    213,634.14x = 320,352.54 × 78,664.31
  4. Step 4: Simplify right side
    213,634.14x = 25,200,310,820.42
  5. Step 5: Solve for x
    x = 25,200,310,820.42/213,634.14
  6. Step 6: Final answer
    x = 117,960.13

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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.