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Finding the Fourth Proportional to 208,638.33, 287,918.37 and 113,143.89

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Solution

The fourth proportional to 208,638.33, 287,918.37 and 113,143.89 is: 156,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638.33 : 287,918.37 = 113,143.89 : x
  2. Step 2: Convert to fraction form
    208,638.33/287,918.37 = 113,143.89/x
  3. Step 3: Cross multiply
    208,638.33x = 287,918.37 × 113,143.89
  4. Step 4: Simplify right side
    208,638.33x = 32,576,204,384.26
  5. Step 5: Solve for x
    x = 32,576,204,384.26/208,638.33
  6. Step 6: Final answer
    x = 156,137.20

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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.