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Finding the Fourth Proportional to 255,844.50, 353,072.70 and 142,674.54

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Solution

The fourth proportional to 255,844.50, 353,072.70 and 142,674.54 is: 196,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,844.50 : 353,072.70 = 142,674.54 : x
  2. Step 2: Convert to fraction form
    255,844.50/353,072.70 = 142,674.54/x
  3. Step 3: Cross multiply
    255,844.50x = 353,072.70 × 142,674.54
  4. Step 4: Simplify right side
    255,844.50x = 50,374,485,059.06
  5. Step 5: Solve for x
    x = 50,374,485,059.06/255,844.50
  6. Step 6: Final answer
    x = 196,894.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.