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Finding the Fourth Proportional to 273,119, 409,678.74 and 76,127

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Solution

The fourth proportional to 273,119, 409,678.74 and 76,127 is: 114,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,119 : 409,678.74 = 76,127 : x
  2. Step 2: Convert to fraction form
    273,119/409,678.74 = 76,127/x
  3. Step 3: Cross multiply
    273,119x = 409,678.74 × 76,127
  4. Step 4: Simplify right side
    273,119x = 31,187,613,439.98
  5. Step 5: Solve for x
    x = 31,187,613,439.98/273,119
  6. Step 6: Final answer
    x = 114,190.57

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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.