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Finding the Fourth Proportional to 208,485.78, 312,728.76 and 50,713.26

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Solution

The fourth proportional to 208,485.78, 312,728.76 and 50,713.26 is: 76,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,485.78 : 312,728.76 = 50,713.26 : x
  2. Step 2: Convert to fraction form
    208,485.78/312,728.76 = 50,713.26/x
  3. Step 3: Cross multiply
    208,485.78x = 312,728.76 × 50,713.26
  4. Step 4: Simplify right side
    208,485.78x = 15,859,494,915.36
  5. Step 5: Solve for x
    x = 15,859,494,915.36/208,485.78
  6. Step 6: Final answer
    x = 76,069.91

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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.