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Finding the Fourth Proportional to 208,272.52, 312,409.78 and 50,500.96

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Solution

The fourth proportional to 208,272.52, 312,409.78 and 50,500.96 is: 75,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,272.52 : 312,409.78 = 50,500.96 : x
  2. Step 2: Convert to fraction form
    208,272.52/312,409.78 = 50,500.96/x
  3. Step 3: Cross multiply
    208,272.52x = 312,409.78 × 50,500.96
  4. Step 4: Simplify right side
    208,272.52x = 15,776,993,803.39
  5. Step 5: Solve for x
    x = 15,776,993,803.39/208,272.52
  6. Step 6: Final answer
    x = 75,751.68

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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.