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Finding the Fourth Proportional to 208,039.74, 312,092.01 and 67,765.74

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Solution

The fourth proportional to 208,039.74, 312,092.01 and 67,765.74 is: 101,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,039.74 : 312,092.01 = 67,765.74 : x
  2. Step 2: Convert to fraction form
    208,039.74/312,092.01 = 67,765.74/x
  3. Step 3: Cross multiply
    208,039.74x = 312,092.01 × 67,765.74
  4. Step 4: Simplify right side
    208,039.74x = 21,149,146,005.74
  5. Step 5: Solve for x
    x = 21,149,146,005.74/208,039.74
  6. Step 6: Final answer
    x = 101,659.16

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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.