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Finding the Fourth Proportional to 205,351.88, 308,027.81 and 65,110.50

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Solution

The fourth proportional to 205,351.88, 308,027.81 and 65,110.50 is: 97,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,351.88 : 308,027.81 = 65,110.50 : x
  2. Step 2: Convert to fraction form
    205,351.88/308,027.81 = 65,110.50/x
  3. Step 3: Cross multiply
    205,351.88x = 308,027.81 × 65,110.50
  4. Step 4: Simplify right side
    205,351.88x = 20,055,844,885.78
  5. Step 5: Solve for x
    x = 20,055,844,885.78/205,351.88
  6. Step 6: Final answer
    x = 97,665.75

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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.