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Finding the Fourth Proportional to 255,924.48, 353,203.20 and 142,786.56

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Solution

The fourth proportional to 255,924.48, 353,203.20 and 142,786.56 is: 197,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,924.48 : 353,203.20 = 142,786.56 : x
  2. Step 2: Convert to fraction form
    255,924.48/353,203.20 = 142,786.56/x
  3. Step 3: Cross multiply
    255,924.48x = 353,203.20 × 142,786.56
  4. Step 4: Simplify right side
    255,924.48x = 50,432,669,908.99
  5. Step 5: Solve for x
    x = 50,432,669,908.99/255,924.48
  6. Step 6: Final answer
    x = 197,060.75

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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.