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Finding the Fourth Proportional to 276,138.69, 414,209.04 and 84,015

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Solution

The fourth proportional to 276,138.69, 414,209.04 and 84,015 is: 126,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,138.69 : 414,209.04 = 84,015 : x
  2. Step 2: Convert to fraction form
    276,138.69/414,209.04 = 84,015/x
  3. Step 3: Cross multiply
    276,138.69x = 414,209.04 × 84,015
  4. Step 4: Simplify right side
    276,138.69x = 34,799,772,495.60
  5. Step 5: Solve for x
    x = 34,799,772,495.60/276,138.69
  6. Step 6: Final answer
    x = 126,022.81

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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.