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Finding the Fourth Proportional to 213,605, 320,429.44 and 80,597.20

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Solution

The fourth proportional to 213,605, 320,429.44 and 80,597.20 is: 120,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,605 : 320,429.44 = 80,597.20 : x
  2. Step 2: Convert to fraction form
    213,605/320,429.44 = 80,597.20/x
  3. Step 3: Cross multiply
    213,605x = 320,429.44 × 80,597.20
  4. Step 4: Simplify right side
    213,605x = 25,825,715,661.57
  5. Step 5: Solve for x
    x = 25,825,715,661.57/213,605
  6. Step 6: Final answer
    x = 120,904.08

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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.