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Finding the Fourth Proportional to 208,042.74, 312,096.51 and 67,768.74

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Solution

The fourth proportional to 208,042.74, 312,096.51 and 67,768.74 is: 101,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.74 : 312,096.51 = 67,768.74 : x
  2. Step 2: Convert to fraction form
    208,042.74/312,096.51 = 67,768.74/x
  3. Step 3: Cross multiply
    208,042.74x = 312,096.51 × 67,768.74
  4. Step 4: Simplify right side
    208,042.74x = 21,150,387,241.10
  5. Step 5: Solve for x
    x = 21,150,387,241.10/208,042.74
  6. Step 6: Final answer
    x = 101,663.66

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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.