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Finding the Fourth Proportional to 252,021.49, 378,190.49 and 102,262.41

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Solution

The fourth proportional to 252,021.49, 378,190.49 and 102,262.41 is: 153,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,021.49 : 378,190.49 = 102,262.41 : x
  2. Step 2: Convert to fraction form
    252,021.49/378,190.49 = 102,262.41/x
  3. Step 3: Cross multiply
    252,021.49x = 378,190.49 × 102,262.41
  4. Step 4: Simplify right side
    252,021.49x = 38,674,670,435.17
  5. Step 5: Solve for x
    x = 38,674,670,435.17/252,021.49
  6. Step 6: Final answer
    x = 153,457.83

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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.