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Finding the Fourth Proportional to 208,543.37, 312,831.45 and 82,174.86

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Solution

The fourth proportional to 208,543.37, 312,831.45 and 82,174.86 is: 123,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,543.37 : 312,831.45 = 82,174.86 : x
  2. Step 2: Convert to fraction form
    208,543.37/312,831.45 = 82,174.86/x
  3. Step 3: Cross multiply
    208,543.37x = 312,831.45 × 82,174.86
  4. Step 4: Simplify right side
    208,543.37x = 25,706,880,607.35
  5. Step 5: Solve for x
    x = 25,706,880,607.35/208,543.37
  6. Step 6: Final answer
    x = 123,268.75

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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.