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Finding the Fourth Proportional to 189,075.49, 283,655.37 and 82,476.79

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Solution

The fourth proportional to 189,075.49, 283,655.37 and 82,476.79 is: 123,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.49 : 283,655.37 = 82,476.79 : x
  2. Step 2: Convert to fraction form
    189,075.49/283,655.37 = 82,476.79/x
  3. Step 3: Cross multiply
    189,075.49x = 283,655.37 × 82,476.79
  4. Step 4: Simplify right side
    189,075.49x = 23,394,984,383.86
  5. Step 5: Solve for x
    x = 23,394,984,383.86/189,075.49
  6. Step 6: Final answer
    x = 123,733.56

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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.