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Finding the Fourth Proportional to 263,761.70, 363,990.66 and 142,906.08

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Solution

The fourth proportional to 263,761.70, 363,990.66 and 142,906.08 is: 197,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,761.70 : 363,990.66 = 142,906.08 : x
  2. Step 2: Convert to fraction form
    263,761.70/363,990.66 = 142,906.08/x
  3. Step 3: Cross multiply
    263,761.70x = 363,990.66 × 142,906.08
  4. Step 4: Simplify right side
    263,761.70x = 52,016,478,377.21
  5. Step 5: Solve for x
    x = 52,016,478,377.21/263,761.70
  6. Step 6: Final answer
    x = 197,210.13

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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.