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Finding the Fourth Proportional to 102,198, 153,305.64 and 28,326

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Solution

The fourth proportional to 102,198, 153,305.64 and 28,326 is: 42,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198 : 153,305.64 = 28,326 : x
  2. Step 2: Convert to fraction form
    102,198/153,305.64 = 28,326/x
  3. Step 3: Cross multiply
    102,198x = 153,305.64 × 28,326
  4. Step 4: Simplify right side
    102,198x = 4,342,535,558.64
  5. Step 5: Solve for x
    x = 4,342,535,558.64/102,198
  6. Step 6: Final answer
    x = 42,491.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.