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Finding the Fourth Proportional to 276,075.21, 414,118.02 and 86,531.41

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Solution

The fourth proportional to 276,075.21, 414,118.02 and 86,531.41 is: 129,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,075.21 : 414,118.02 = 86,531.41 : x
  2. Step 2: Convert to fraction form
    276,075.21/414,118.02 = 86,531.41/x
  3. Step 3: Cross multiply
    276,075.21x = 414,118.02 × 86,531.41
  4. Step 4: Simplify right side
    276,075.21x = 35,834,217,697.12
  5. Step 5: Solve for x
    x = 35,834,217,697.12/276,075.21
  6. Step 6: Final answer
    x = 129,798.75

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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.