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Finding the Fourth Proportional to 135,781.54, 187,392.36 and 75,352.60

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Solution

The fourth proportional to 135,781.54, 187,392.36 and 75,352.60 is: 103,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,781.54 : 187,392.36 = 75,352.60 : x
  2. Step 2: Convert to fraction form
    135,781.54/187,392.36 = 75,352.60/x
  3. Step 3: Cross multiply
    135,781.54x = 187,392.36 × 75,352.60
  4. Step 4: Simplify right side
    135,781.54x = 14,120,501,546.14
  5. Step 5: Solve for x
    x = 14,120,501,546.14/135,781.54
  6. Step 6: Final answer
    x = 103,994.27

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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.