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Finding the Fourth Proportional to 123,039, 184,576.32 and 38,770.65

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Solution

The fourth proportional to 123,039, 184,576.32 and 38,770.65 is: 58,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,039 : 184,576.32 = 38,770.65 : x
  2. Step 2: Convert to fraction form
    123,039/184,576.32 = 38,770.65/x
  3. Step 3: Cross multiply
    123,039x = 184,576.32 × 38,770.65
  4. Step 4: Simplify right side
    123,039x = 7,156,143,901.01
  5. Step 5: Solve for x
    x = 7,156,143,901.01/123,039
  6. Step 6: Final answer
    x = 58,161.59

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1.5x scale

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.