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Finding the Fourth Proportional to 145,408.38, 200,661.59 and 80,877

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Solution

The fourth proportional to 145,408.38, 200,661.59 and 80,877 is: 111,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408.38 : 200,661.59 = 80,877 : x
  2. Step 2: Convert to fraction form
    145,408.38/200,661.59 = 80,877/x
  3. Step 3: Cross multiply
    145,408.38x = 200,661.59 × 80,877
  4. Step 4: Simplify right side
    145,408.38x = 16,228,907,010.05
  5. Step 5: Solve for x
    x = 16,228,907,010.05/145,408.38
  6. Step 6: Final answer
    x = 111,609.16

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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.