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Finding the Fourth Proportional to 205,571.52, 308,343.84 and 65,338.56

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Solution

The fourth proportional to 205,571.52, 308,343.84 and 65,338.56 is: 98,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,571.52 : 308,343.84 = 65,338.56 : x
  2. Step 2: Convert to fraction form
    205,571.52/308,343.84 = 65,338.56/x
  3. Step 3: Cross multiply
    205,571.52x = 308,343.84 × 65,338.56
  4. Step 4: Simplify right side
    205,571.52x = 20,146,742,490.47
  5. Step 5: Solve for x
    x = 20,146,742,490.47/205,571.52
  6. Step 6: Final answer
    x = 98,003.57

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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.