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Finding the Fourth Proportional to 276,090.81, 414,145.47 and 76,394.43

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Solution

The fourth proportional to 276,090.81, 414,145.47 and 76,394.43 is: 114,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,090.81 : 414,145.47 = 76,394.43 : x
  2. Step 2: Convert to fraction form
    276,090.81/414,145.47 = 76,394.43/x
  3. Step 3: Cross multiply
    276,090.81x = 414,145.47 × 76,394.43
  4. Step 4: Simplify right side
    276,090.81x = 31,638,407,117.73
  5. Step 5: Solve for x
    x = 31,638,407,117.73/276,090.81
  6. Step 6: Final answer
    x = 114,594.21

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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.