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Finding the Fourth Proportional to 208,596.15, 287,715.81 and 201,651.97

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Solution

The fourth proportional to 208,596.15, 287,715.81 and 201,651.97 is: 278,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,596.15 : 287,715.81 = 201,651.97 : x
  2. Step 2: Convert to fraction form
    208,596.15/287,715.81 = 201,651.97/x
  3. Step 3: Cross multiply
    208,596.15x = 287,715.81 × 201,651.97
  4. Step 4: Simplify right side
    208,596.15x = 58,018,459,886.65
  5. Step 5: Solve for x
    x = 58,018,459,886.65/208,596.15
  6. Step 6: Final answer
    x = 278,137.73

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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.