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Finding the Fourth Proportional to 213,553.53, 320,333.40 and 55,782

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Solution

The fourth proportional to 213,553.53, 320,333.40 and 55,782 is: 83,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,553.53 : 320,333.40 = 55,782 : x
  2. Step 2: Convert to fraction form
    213,553.53/320,333.40 = 55,782/x
  3. Step 3: Cross multiply
    213,553.53x = 320,333.40 × 55,782
  4. Step 4: Simplify right side
    213,553.53x = 17,868,837,718.80
  5. Step 5: Solve for x
    x = 17,868,837,718.80/213,553.53
  6. Step 6: Final answer
    x = 83,673.81

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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.