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Finding the Fourth Proportional to 208,287.47, 312,220.83 and 82,016.33

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Solution

The fourth proportional to 208,287.47, 312,220.83 and 82,016.33 is: 122,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,287.47 : 312,220.83 = 82,016.33 : x
  2. Step 2: Convert to fraction form
    208,287.47/312,220.83 = 82,016.33/x
  3. Step 3: Cross multiply
    208,287.47x = 312,220.83 × 82,016.33
  4. Step 4: Simplify right side
    208,287.47x = 25,607,206,626.15
  5. Step 5: Solve for x
    x = 25,607,206,626.15/208,287.47
  6. Step 6: Final answer
    x = 122,941.66

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1.5x scale

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.