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Finding the Fourth Proportional to 276,140.88, 414,212.40 and 84,017.21

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Solution

The fourth proportional to 276,140.88, 414,212.40 and 84,017.21 is: 126,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,140.88 : 414,212.40 = 84,017.21 : x
  2. Step 2: Convert to fraction form
    276,140.88/414,212.40 = 84,017.21/x
  3. Step 3: Cross multiply
    276,140.88x = 414,212.40 × 84,017.21
  4. Step 4: Simplify right side
    276,140.88x = 34,800,968,124.34
  5. Step 5: Solve for x
    x = 34,800,968,124.34/276,140.88
  6. Step 6: Final answer
    x = 126,026.14

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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.