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Finding the Fourth Proportional to 135,578.37, 187,055.37 and 78,209.97

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Solution

The fourth proportional to 135,578.37, 187,055.37 and 78,209.97 is: 107,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,578.37 : 187,055.37 = 78,209.97 : x
  2. Step 2: Convert to fraction form
    135,578.37/187,055.37 = 78,209.97/x
  3. Step 3: Cross multiply
    135,578.37x = 187,055.37 × 78,209.97
  4. Step 4: Simplify right side
    135,578.37x = 14,629,594,876.04
  5. Step 5: Solve for x
    x = 14,629,594,876.04/135,578.37
  6. Step 6: Final answer
    x = 107,905.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.