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Finding the Fourth Proportional to 192,090.54, 287,902.51 and 135,947.06

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Solution

The fourth proportional to 192,090.54, 287,902.51 and 135,947.06 is: 203,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,090.54 : 287,902.51 = 135,947.06 : x
  2. Step 2: Convert to fraction form
    192,090.54/287,902.51 = 135,947.06/x
  3. Step 3: Cross multiply
    192,090.54x = 287,902.51 × 135,947.06
  4. Step 4: Simplify right side
    192,090.54x = 39,139,499,801.12
  5. Step 5: Solve for x
    x = 39,139,499,801.12/192,090.54
  6. Step 6: Final answer
    x = 203,755.48

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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.