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Finding the Fourth Proportional to 276,093.36, 414,128.16 and 86,549.49

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Solution

The fourth proportional to 276,093.36, 414,128.16 and 86,549.49 is: 129,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,093.36 : 414,128.16 = 86,549.49 : x
  2. Step 2: Convert to fraction form
    276,093.36/414,128.16 = 86,549.49/x
  3. Step 3: Cross multiply
    276,093.36x = 414,128.16 × 86,549.49
  4. Step 4: Simplify right side
    276,093.36x = 35,842,581,042.64
  5. Step 5: Solve for x
    x = 35,842,581,042.64/276,093.36
  6. Step 6: Final answer
    x = 129,820.51

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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.