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Finding the Fourth Proportional to 213,452.69, 320,344.27 and 80,453.93

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Solution

The fourth proportional to 213,452.69, 320,344.27 and 80,453.93 is: 120,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,452.69 : 320,344.27 = 80,453.93 : x
  2. Step 2: Convert to fraction form
    213,452.69/320,344.27 = 80,453.93/x
  3. Step 3: Cross multiply
    213,452.69x = 320,344.27 × 80,453.93
  4. Step 4: Simplify right side
    213,452.69x = 25,772,953,671.62
  5. Step 5: Solve for x
    x = 25,772,953,671.62/213,452.69
  6. Step 6: Final answer
    x = 120,743.17

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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.