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Finding the Fourth Proportional to 208,063.72, 312,121.50 and 67,784.68

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Solution

The fourth proportional to 208,063.72, 312,121.50 and 67,784.68 is: 101,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.72 : 312,121.50 = 67,784.68 : x
  2. Step 2: Convert to fraction form
    208,063.72/312,121.50 = 67,784.68/x
  3. Step 3: Cross multiply
    208,063.72x = 312,121.50 × 67,784.68
  4. Step 4: Simplify right side
    208,063.72x = 21,157,055,998.62
  5. Step 5: Solve for x
    x = 21,157,055,998.62/208,063.72
  6. Step 6: Final answer
    x = 101,685.46

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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.