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Finding the Fourth Proportional to 276,071.20, 414,120.18 and 76,387.18

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Solution

The fourth proportional to 276,071.20, 414,120.18 and 76,387.18 is: 114,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,071.20 : 414,120.18 = 76,387.18 : x
  2. Step 2: Convert to fraction form
    276,071.20/414,120.18 = 76,387.18/x
  3. Step 3: Cross multiply
    276,071.20x = 414,120.18 × 76,387.18
  4. Step 4: Simplify right side
    276,071.20x = 31,633,472,731.29
  5. Step 5: Solve for x
    x = 31,633,472,731.29/276,071.20
  6. Step 6: Final answer
    x = 114,584.47

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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.