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Finding the Fourth Proportional to 276,213.95, 414,338.44 and 86,681.80

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Solution

The fourth proportional to 276,213.95, 414,338.44 and 86,681.80 is: 130,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,213.95 : 414,338.44 = 86,681.80 : x
  2. Step 2: Convert to fraction form
    276,213.95/414,338.44 = 86,681.80/x
  3. Step 3: Cross multiply
    276,213.95x = 414,338.44 × 86,681.80
  4. Step 4: Simplify right side
    276,213.95x = 35,915,599,921.49
  5. Step 5: Solve for x
    x = 35,915,599,921.49/276,213.95
  6. Step 6: Final answer
    x = 130,028.19

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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.