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Finding the Fourth Proportional to 255,843.21, 353,063.97 and 141,119.28

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Solution

The fourth proportional to 255,843.21, 353,063.97 and 141,119.28 is: 194,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,843.21 : 353,063.97 = 141,119.28 : x
  2. Step 2: Convert to fraction form
    255,843.21/353,063.97 = 141,119.28/x
  3. Step 3: Cross multiply
    255,843.21x = 353,063.97 × 141,119.28
  4. Step 4: Simplify right side
    255,843.21x = 49,824,133,240.34
  5. Step 5: Solve for x
    x = 49,824,133,240.34/255,843.21
  6. Step 6: Final answer
    x = 194,744.79

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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.