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Finding the Fourth Proportional to 208,661.67, 287,953.46 and 113,168.44

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Solution

The fourth proportional to 208,661.67, 287,953.46 and 113,168.44 is: 156,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,661.67 : 287,953.46 = 113,168.44 : x
  2. Step 2: Convert to fraction form
    208,661.67/287,953.46 = 113,168.44/x
  3. Step 3: Cross multiply
    208,661.67x = 287,953.46 × 113,168.44
  4. Step 4: Simplify right side
    208,661.67x = 32,587,243,860.80
  5. Step 5: Solve for x
    x = 32,587,243,860.80/208,661.67
  6. Step 6: Final answer
    x = 156,172.64

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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.