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Finding the Fourth Proportional to 276,119.68, 414,180.08 and 76,440.64

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Solution

The fourth proportional to 276,119.68, 414,180.08 and 76,440.64 is: 114,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,119.68 : 414,180.08 = 76,440.64 : x
  2. Step 2: Convert to fraction form
    276,119.68/414,180.08 = 76,440.64/x
  3. Step 3: Cross multiply
    276,119.68x = 414,180.08 × 76,440.64
  4. Step 4: Simplify right side
    276,119.68x = 31,660,190,390.45
  5. Step 5: Solve for x
    x = 31,660,190,390.45/276,119.68
  6. Step 6: Final answer
    x = 114,661.12

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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.