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Finding the Fourth Proportional to 205,453.78, 308,180.70 and 55,694.08

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Solution

The fourth proportional to 205,453.78, 308,180.70 and 55,694.08 is: 83,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,453.78 : 308,180.70 = 55,694.08 : x
  2. Step 2: Convert to fraction form
    205,453.78/308,180.70 = 55,694.08/x
  3. Step 3: Cross multiply
    205,453.78x = 308,180.70 × 55,694.08
  4. Step 4: Simplify right side
    205,453.78x = 17,163,840,560.26
  5. Step 5: Solve for x
    x = 17,163,840,560.26/205,453.78
  6. Step 6: Final answer
    x = 83,541.13

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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.