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Finding the Fourth Proportional to 208,713.94, 313,121.86 and 66,559.22

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Solution

The fourth proportional to 208,713.94, 313,121.86 and 66,559.22 is: 99,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,713.94 : 313,121.86 = 66,559.22 : x
  2. Step 2: Convert to fraction form
    208,713.94/313,121.86 = 66,559.22/x
  3. Step 3: Cross multiply
    208,713.94x = 313,121.86 × 66,559.22
  4. Step 4: Simplify right side
    208,713.94x = 20,841,145,200.94
  5. Step 5: Solve for x
    x = 20,841,145,200.94/208,713.94
  6. Step 6: Final answer
    x = 99,855.07

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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.