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Finding the Fourth Proportional to 208,665.86, 313,021.34 and 66,477.60

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Solution

The fourth proportional to 208,665.86, 313,021.34 and 66,477.60 is: 99,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,665.86 : 313,021.34 = 66,477.60 : x
  2. Step 2: Convert to fraction form
    208,665.86/313,021.34 = 66,477.60/x
  3. Step 3: Cross multiply
    208,665.86x = 313,021.34 × 66,477.60
  4. Step 4: Simplify right side
    208,665.86x = 20,808,907,431.98
  5. Step 5: Solve for x
    x = 20,808,907,431.98/208,665.86
  6. Step 6: Final answer
    x = 99,723.58

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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.