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Finding the Fourth Proportional to 263,153, 363,159.78 and 143,921

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Solution

The fourth proportional to 263,153, 363,159.78 and 143,921 is: 198,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,153 : 363,159.78 = 143,921 : x
  2. Step 2: Convert to fraction form
    263,153/363,159.78 = 143,921/x
  3. Step 3: Cross multiply
    263,153x = 363,159.78 × 143,921
  4. Step 4: Simplify right side
    263,153x = 52,266,318,697.38
  5. Step 5: Solve for x
    x = 52,266,318,697.38/263,153
  6. Step 6: Final answer
    x = 198,615.71

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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.