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Finding the Fourth Proportional to 147,537, 203,603.49 and 80,469

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Solution

The fourth proportional to 147,537, 203,603.49 and 80,469 is: 111,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,537 : 203,603.49 = 80,469 : x
  2. Step 2: Convert to fraction form
    147,537/203,603.49 = 80,469/x
  3. Step 3: Cross multiply
    147,537x = 203,603.49 × 80,469
  4. Step 4: Simplify right side
    147,537x = 16,383,769,236.81
  5. Step 5: Solve for x
    x = 16,383,769,236.81/147,537
  6. Step 6: Final answer
    x = 111,048.55

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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.