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Finding the Fourth Proportional to 208,672.96, 313,048.32 and 68,471.68

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Solution

The fourth proportional to 208,672.96, 313,048.32 and 68,471.68 is: 102,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,672.96 : 313,048.32 = 68,471.68 : x
  2. Step 2: Convert to fraction form
    208,672.96/313,048.32 = 68,471.68/x
  3. Step 3: Cross multiply
    208,672.96x = 313,048.32 × 68,471.68
  4. Step 4: Simplify right side
    208,672.96x = 21,434,944,391.58
  5. Step 5: Solve for x
    x = 21,434,944,391.58/208,672.96
  6. Step 6: Final answer
    x = 102,720.28

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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.