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Finding the Fourth Proportional to 418,661.12, 627,921.92 and 123,104

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Solution

The fourth proportional to 418,661.12, 627,921.92 and 123,104 is: 184,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,661.12 : 627,921.92 = 123,104 : x
  2. Step 2: Convert to fraction form
    418,661.12/627,921.92 = 123,104/x
  3. Step 3: Cross multiply
    418,661.12x = 627,921.92 × 123,104
  4. Step 4: Simplify right side
    418,661.12x = 77,299,700,039.68
  5. Step 5: Solve for x
    x = 77,299,700,039.68/418,661.12
  6. Step 6: Final answer
    x = 184,635.49

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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.