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Finding the Fourth Proportional to 252,013.44, 378,074.40 and 125,721.60

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Solution

The fourth proportional to 252,013.44, 378,074.40 and 125,721.60 is: 188,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,013.44 : 378,074.40 = 125,721.60 : x
  2. Step 2: Convert to fraction form
    252,013.44/378,074.40 = 125,721.60/x
  3. Step 3: Cross multiply
    252,013.44x = 378,074.40 × 125,721.60
  4. Step 4: Simplify right side
    252,013.44x = 47,532,118,487.04
  5. Step 5: Solve for x
    x = 47,532,118,487.04/252,013.44
  6. Step 6: Final answer
    x = 188,609.46

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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.