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Finding the Fourth Proportional to 123,265, 184,912.08 and 40,159

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Solution

The fourth proportional to 123,265, 184,912.08 and 40,159 is: 60,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,265 : 184,912.08 = 40,159 : x
  2. Step 2: Convert to fraction form
    123,265/184,912.08 = 40,159/x
  3. Step 3: Cross multiply
    123,265x = 184,912.08 × 40,159
  4. Step 4: Simplify right side
    123,265x = 7,425,884,220.72
  5. Step 5: Solve for x
    x = 7,425,884,220.72/123,265
  6. Step 6: Final answer
    x = 60,243.25

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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.