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Finding the Fourth Proportional to 273,960.96, 378,072.32 and 160,865.28

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Solution

The fourth proportional to 273,960.96, 378,072.32 and 160,865.28 is: 221,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,960.96 : 378,072.32 = 160,865.28 : x
  2. Step 2: Convert to fraction form
    273,960.96/378,072.32 = 160,865.28/x
  3. Step 3: Cross multiply
    273,960.96x = 378,072.32 × 160,865.28
  4. Step 4: Simplify right side
    273,960.96x = 60,818,709,617.05
  5. Step 5: Solve for x
    x = 60,818,709,617.05/273,960.96
  6. Step 6: Final answer
    x = 221,997.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.