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Finding the Fourth Proportional to 276,048.21, 414,072.36 and 86,508.51

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Solution

The fourth proportional to 276,048.21, 414,072.36 and 86,508.51 is: 129,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,048.21 : 414,072.36 = 86,508.51 : x
  2. Step 2: Convert to fraction form
    276,048.21/414,072.36 = 86,508.51/x
  3. Step 3: Cross multiply
    276,048.21x = 414,072.36 × 86,508.51
  4. Step 4: Simplify right side
    276,048.21x = 35,820,782,895.78
  5. Step 5: Solve for x
    x = 35,820,782,895.78/276,048.21
  6. Step 6: Final answer
    x = 129,762.78

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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.