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Finding the Fourth Proportional to 213,687.78, 320,553.48 and 73,428.18

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Solution

The fourth proportional to 213,687.78, 320,553.48 and 73,428.18 is: 110,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,687.78 : 320,553.48 = 73,428.18 : x
  2. Step 2: Convert to fraction form
    213,687.78/320,553.48 = 73,428.18/x
  3. Step 3: Cross multiply
    213,687.78x = 320,553.48 × 73,428.18
  4. Step 4: Simplify right side
    213,687.78x = 23,537,658,629.07
  5. Step 5: Solve for x
    x = 23,537,658,629.07/213,687.78
  6. Step 6: Final answer
    x = 110,149.76

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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.