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Finding the Fourth Proportional to 213,560.78, 320,344.28 and 55,789.25

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Solution

The fourth proportional to 213,560.78, 320,344.28 and 55,789.25 is: 83,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,560.78 : 320,344.28 = 55,789.25 : x
  2. Step 2: Convert to fraction form
    213,560.78/320,344.28 = 55,789.25/x
  3. Step 3: Cross multiply
    213,560.78x = 320,344.28 × 55,789.25
  4. Step 4: Simplify right side
    213,560.78x = 17,871,767,122.99
  5. Step 5: Solve for x
    x = 17,871,767,122.99/213,560.78
  6. Step 6: Final answer
    x = 83,684.69

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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.