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Finding the Fourth Proportional to 263,138, 363,139.08 and 143,906

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Solution

The fourth proportional to 263,138, 363,139.08 and 143,906 is: 198,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138 : 363,139.08 = 143,906 : x
  2. Step 2: Convert to fraction form
    263,138/363,139.08 = 143,906/x
  3. Step 3: Cross multiply
    263,138x = 363,139.08 × 143,906
  4. Step 4: Simplify right side
    263,138x = 52,257,892,446.48
  5. Step 5: Solve for x
    x = 52,257,892,446.48/263,138
  6. Step 6: Final answer
    x = 198,595.01

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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.