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Finding the Fourth Proportional to 208,638.72, 287,918.87 and 113,144.31

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Solution

The fourth proportional to 208,638.72, 287,918.87 and 113,144.31 is: 156,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638.72 : 287,918.87 = 113,144.31 : x
  2. Step 2: Convert to fraction form
    208,638.72/287,918.87 = 113,144.31/x
  3. Step 3: Cross multiply
    208,638.72x = 287,918.87 × 113,144.31
  4. Step 4: Simplify right side
    208,638.72x = 32,576,381,316.41
  5. Step 5: Solve for x
    x = 32,576,381,316.41/208,638.72
  6. Step 6: Final answer
    x = 156,137.75

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1.5x scale

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.