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Finding the Fourth Proportional to 273,120, 409,680.24 and 76,128

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Solution

The fourth proportional to 273,120, 409,680.24 and 76,128 is: 114,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,120 : 409,680.24 = 76,128 : x
  2. Step 2: Convert to fraction form
    273,120/409,680.24 = 76,128/x
  3. Step 3: Cross multiply
    273,120x = 409,680.24 × 76,128
  4. Step 4: Simplify right side
    273,120x = 31,188,137,310.72
  5. Step 5: Solve for x
    x = 31,188,137,310.72/273,120
  6. Step 6: Final answer
    x = 114,192.07

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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.