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Finding the Fourth Proportional to 255,907, 353,151.66 and 142,729.84

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Solution

The fourth proportional to 255,907, 353,151.66 and 142,729.84 is: 196,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,907 : 353,151.66 = 142,729.84 : x
  2. Step 2: Convert to fraction form
    255,907/353,151.66 = 142,729.84/x
  3. Step 3: Cross multiply
    255,907x = 353,151.66 × 142,729.84
  4. Step 4: Simplify right side
    255,907x = 50,405,279,927.53
  5. Step 5: Solve for x
    x = 50,405,279,927.53/255,907
  6. Step 6: Final answer
    x = 196,967.18

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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.