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Finding the Fourth Proportional to 255,902.92, 353,146.50 and 142,732.96

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Solution

The fourth proportional to 255,902.92, 353,146.50 and 142,732.96 is: 196,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.92 : 353,146.50 = 142,732.96 : x
  2. Step 2: Convert to fraction form
    255,902.92/353,146.50 = 142,732.96/x
  3. Step 3: Cross multiply
    255,902.92x = 353,146.50 × 142,732.96
  4. Step 4: Simplify right side
    255,902.92x = 50,405,645,258.64
  5. Step 5: Solve for x
    x = 50,405,645,258.64/255,902.92
  6. Step 6: Final answer
    x = 196,971.75

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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.