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Finding the Fourth Proportional to 252,978.30, 379,724.22 and 126,709.02

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Solution

The fourth proportional to 252,978.30, 379,724.22 and 126,709.02 is: 190,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,978.30 : 379,724.22 = 126,709.02 : x
  2. Step 2: Convert to fraction form
    252,978.30/379,724.22 = 126,709.02/x
  3. Step 3: Cross multiply
    252,978.30x = 379,724.22 × 126,709.02
  4. Step 4: Simplify right side
    252,978.30x = 48,114,483,786.46
  5. Step 5: Solve for x
    x = 48,114,483,786.46/252,978.30
  6. Step 6: Final answer
    x = 190,192.14

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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.