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Finding the Fourth Proportional to 208,062.72, 312,120 and 67,783.68

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Solution

The fourth proportional to 208,062.72, 312,120 and 67,783.68 is: 101,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,062.72 : 312,120 = 67,783.68 : x
  2. Step 2: Convert to fraction form
    208,062.72/312,120 = 67,783.68/x
  3. Step 3: Cross multiply
    208,062.72x = 312,120 × 67,783.68
  4. Step 4: Simplify right side
    208,062.72x = 21,156,642,201.60
  5. Step 5: Solve for x
    x = 21,156,642,201.60/208,062.72
  6. Step 6: Final answer
    x = 101,683.96

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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.