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Finding the Fourth Proportional to 147,198, 203,133.28 and 80,130

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Solution

The fourth proportional to 147,198, 203,133.28 and 80,130 is: 110,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,198 : 203,133.28 = 80,130 : x
  2. Step 2: Convert to fraction form
    147,198/203,133.28 = 80,130/x
  3. Step 3: Cross multiply
    147,198x = 203,133.28 × 80,130
  4. Step 4: Simplify right side
    147,198x = 16,277,069,726.40
  5. Step 5: Solve for x
    x = 16,277,069,726.40/147,198
  6. Step 6: Final answer
    x = 110,579.42

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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.