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Finding the Fourth Proportional to 208,666.86, 313,022.84 and 66,478.60

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Solution

The fourth proportional to 208,666.86, 313,022.84 and 66,478.60 is: 99,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.86 : 313,022.84 = 66,478.60 : x
  2. Step 2: Convert to fraction form
    208,666.86/313,022.84 = 66,478.60/x
  3. Step 3: Cross multiply
    208,666.86x = 313,022.84 × 66,478.60
  4. Step 4: Simplify right side
    208,666.86x = 20,809,320,171.22
  5. Step 5: Solve for x
    x = 20,809,320,171.22/208,666.86
  6. Step 6: Final answer
    x = 99,725.08

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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.