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Finding the Fourth Proportional to 213,645.84, 320,468.84 and 80,556

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Solution

The fourth proportional to 213,645.84, 320,468.84 and 80,556 is: 120,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,645.84 : 320,468.84 = 80,556 : x
  2. Step 2: Convert to fraction form
    213,645.84/320,468.84 = 80,556/x
  3. Step 3: Cross multiply
    213,645.84x = 320,468.84 × 80,556
  4. Step 4: Simplify right side
    213,645.84x = 25,815,687,875.04
  5. Step 5: Solve for x
    x = 25,815,687,875.04/213,645.84
  6. Step 6: Final answer
    x = 120,834.03

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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.