Home / 213,821.91-320,638.10-113,963.49

Finding the Fourth Proportional to 213,821.91, 320,638.10 and 113,963.49

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Solution

The fourth proportional to 213,821.91, 320,638.10 and 113,963.49 is: 170,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,821.91 : 320,638.10 = 113,963.49 : x
  2. Step 2: Convert to fraction form
    213,821.91/320,638.10 = 113,963.49/x
  3. Step 3: Cross multiply
    213,821.91x = 320,638.10 × 113,963.49
  4. Step 4: Simplify right side
    213,821.91x = 36,541,036,333.15
  5. Step 5: Solve for x
    x = 36,541,036,333.15/213,821.91
  6. Step 6: Final answer
    x = 170,894.72

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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.