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Finding the Fourth Proportional to 252,390.63, 378,657.52 and 102,738.34

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Solution

The fourth proportional to 252,390.63, 378,657.52 and 102,738.34 is: 154,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,390.63 : 378,657.52 = 102,738.34 : x
  2. Step 2: Convert to fraction form
    252,390.63/378,657.52 = 102,738.34/x
  3. Step 3: Cross multiply
    252,390.63x = 378,657.52 × 102,738.34
  4. Step 4: Simplify right side
    252,390.63x = 38,902,645,249.79
  5. Step 5: Solve for x
    x = 38,902,645,249.79/252,390.63
  6. Step 6: Final answer
    x = 154,136.64

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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.