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Finding the Fourth Proportional to 203,310.16, 280,578.81 and 112,676.02

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Solution

The fourth proportional to 203,310.16, 280,578.81 and 112,676.02 is: 155,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,310.16 : 280,578.81 = 112,676.02 : x
  2. Step 2: Convert to fraction form
    203,310.16/280,578.81 = 112,676.02/x
  3. Step 3: Cross multiply
    203,310.16x = 280,578.81 × 112,676.02
  4. Step 4: Simplify right side
    203,310.16x = 31,614,503,607.14
  5. Step 5: Solve for x
    x = 31,614,503,607.14/203,310.16
  6. Step 6: Final answer
    x = 155,498.89

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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.