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Finding the Fourth Proportional to 252,674.60, 378,684.11 and 102,740.36

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Solution

The fourth proportional to 252,674.60, 378,684.11 and 102,740.36 is: 153,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,674.60 : 378,684.11 = 102,740.36 : x
  2. Step 2: Convert to fraction form
    252,674.60/378,684.11 = 102,740.36/x
  3. Step 3: Cross multiply
    252,674.60x = 378,684.11 × 102,740.36
  4. Step 4: Simplify right side
    252,674.60x = 38,906,139,380.56
  5. Step 5: Solve for x
    x = 38,906,139,380.56/252,674.60
  6. Step 6: Final answer
    x = 153,977.25

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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.