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Finding the Fourth Proportional to 205,701, 308,573.37 and 55,943.74

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Solution

The fourth proportional to 205,701, 308,573.37 and 55,943.74 is: 83,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,701 : 308,573.37 = 55,943.74 : x
  2. Step 2: Convert to fraction form
    205,701/308,573.37 = 55,943.74/x
  3. Step 3: Cross multiply
    205,701x = 308,573.37 × 55,943.74
  4. Step 4: Simplify right side
    205,701x = 17,262,748,382.20
  5. Step 5: Solve for x
    x = 17,262,748,382.20/205,701
  6. Step 6: Final answer
    x = 83,921.56

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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.