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Finding the Fourth Proportional to 273,113, 409,738.64 and 76,121

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Solution

The fourth proportional to 273,113, 409,738.64 and 76,121 is: 114,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,113 : 409,738.64 = 76,121 : x
  2. Step 2: Convert to fraction form
    273,113/409,738.64 = 76,121/x
  3. Step 3: Cross multiply
    273,113x = 409,738.64 × 76,121
  4. Step 4: Simplify right side
    273,113x = 31,189,715,015.44
  5. Step 5: Solve for x
    x = 31,189,715,015.44/273,113
  6. Step 6: Final answer
    x = 114,200.77

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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.