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Finding the Fourth Proportional to 213,614.90, 320,422.35 and 55,859.30

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Solution

The fourth proportional to 213,614.90, 320,422.35 and 55,859.30 is: 83,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,614.90 : 320,422.35 = 55,859.30 : x
  2. Step 2: Convert to fraction form
    213,614.90/320,422.35 = 55,859.30/x
  3. Step 3: Cross multiply
    213,614.90x = 320,422.35 × 55,859.30
  4. Step 4: Simplify right side
    213,614.90x = 17,898,568,175.36
  5. Step 5: Solve for x
    x = 17,898,568,175.36/213,614.90
  6. Step 6: Final answer
    x = 83,788.95

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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.