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Finding the Fourth Proportional to 135,987.68, 203,911.32 and 61,043.48

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Solution

The fourth proportional to 135,987.68, 203,911.32 and 61,043.48 is: 91,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,987.68 : 203,911.32 = 61,043.48 : x
  2. Step 2: Convert to fraction form
    135,987.68/203,911.32 = 61,043.48/x
  3. Step 3: Cross multiply
    135,987.68x = 203,911.32 × 61,043.48
  4. Step 4: Simplify right side
    135,987.68x = 12,447,456,584.19
  5. Step 5: Solve for x
    x = 12,447,456,584.19/135,987.68
  6. Step 6: Final answer
    x = 91,533.71

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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.