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Finding the Fourth Proportional to 163,057.78, 225,075 and 102,729.52

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Solution

The fourth proportional to 163,057.78, 225,075 and 102,729.52 is: 141,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,057.78 : 225,075 = 102,729.52 : x
  2. Step 2: Convert to fraction form
    163,057.78/225,075 = 102,729.52/x
  3. Step 3: Cross multiply
    163,057.78x = 225,075 × 102,729.52
  4. Step 4: Simplify right side
    163,057.78x = 23,121,846,714
  5. Step 5: Solve for x
    x = 23,121,846,714/163,057.78
  6. Step 6: Final answer
    x = 141,801.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.