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Finding the Fourth Proportional to 255,906, 353,150.28 and 142,728.84

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Solution

The fourth proportional to 255,906, 353,150.28 and 142,728.84 is: 196,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906 : 353,150.28 = 142,728.84 : x
  2. Step 2: Convert to fraction form
    255,906/353,150.28 = 142,728.84/x
  3. Step 3: Cross multiply
    255,906x = 353,150.28 × 142,728.84
  4. Step 4: Simplify right side
    255,906x = 50,404,729,810.08
  5. Step 5: Solve for x
    x = 50,404,729,810.08/255,906
  6. Step 6: Final answer
    x = 196,965.80

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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.