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Finding the Fourth Proportional to 208,912.66, 313,485.36 and 112,847.92

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Solution

The fourth proportional to 208,912.66, 313,485.36 and 112,847.92 is: 169,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,912.66 : 313,485.36 = 112,847.92 : x
  2. Step 2: Convert to fraction form
    208,912.66/313,485.36 = 112,847.92/x
  3. Step 3: Cross multiply
    208,912.66x = 313,485.36 × 112,847.92
  4. Step 4: Simplify right side
    208,912.66x = 35,376,170,826.45
  5. Step 5: Solve for x
    x = 35,376,170,826.45/208,912.66
  6. Step 6: Final answer
    x = 169,334.74

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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.