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Finding the Fourth Proportional to 135,809.97, 203,822.60 and 71,813.55

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Solution

The fourth proportional to 135,809.97, 203,822.60 and 71,813.55 is: 107,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,809.97 : 203,822.60 = 71,813.55 : x
  2. Step 2: Convert to fraction form
    135,809.97/203,822.60 = 71,813.55/x
  3. Step 3: Cross multiply
    135,809.97x = 203,822.60 × 71,813.55
  4. Step 4: Simplify right side
    135,809.97x = 14,637,224,881.50
  5. Step 5: Solve for x
    x = 14,637,224,881.50/135,809.97
  6. Step 6: Final answer
    x = 107,777.25

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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.