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Finding the Fourth Proportional to 208,010.92, 311,733.64 and 87,968.08

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Solution

The fourth proportional to 208,010.92, 311,733.64 and 87,968.08 is: 131,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.92 : 311,733.64 = 87,968.08 : x
  2. Step 2: Convert to fraction form
    208,010.92/311,733.64 = 87,968.08/x
  3. Step 3: Cross multiply
    208,010.92x = 311,733.64 × 87,968.08
  4. Step 4: Simplify right side
    208,010.92x = 27,422,609,782.21
  5. Step 5: Solve for x
    x = 27,422,609,782.21/208,010.92
  6. Step 6: Final answer
    x = 131,832.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.