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Finding the Fourth Proportional to 255,998.36, 353,277.96 and 142,821.14

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Solution

The fourth proportional to 255,998.36, 353,277.96 and 142,821.14 is: 197,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,998.36 : 353,277.96 = 142,821.14 : x
  2. Step 2: Convert to fraction form
    255,998.36/353,277.96 = 142,821.14/x
  3. Step 3: Cross multiply
    255,998.36x = 353,277.96 × 142,821.14
  4. Step 4: Simplify right side
    255,998.36x = 50,455,560,984.07
  5. Step 5: Solve for x
    x = 50,455,560,984.07/255,998.36
  6. Step 6: Final answer
    x = 197,093.30

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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.