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Finding the Fourth Proportional to 213,993.28, 320,715.19 and 80,714.80

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Solution

The fourth proportional to 213,993.28, 320,715.19 and 80,714.80 is: 120,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993.28 : 320,715.19 = 80,714.80 : x
  2. Step 2: Convert to fraction form
    213,993.28/320,715.19 = 80,714.80/x
  3. Step 3: Cross multiply
    213,993.28x = 320,715.19 × 80,714.80
  4. Step 4: Simplify right side
    213,993.28x = 25,886,462,417.81
  5. Step 5: Solve for x
    x = 25,886,462,417.81/213,993.28
  6. Step 6: Final answer
    x = 120,968.58

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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.