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Finding the Fourth Proportional to 90,133.60, 135,202.20 and 27,804

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Solution

The fourth proportional to 90,133.60, 135,202.20 and 27,804 is: 41,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,133.60 : 135,202.20 = 27,804 : x
  2. Step 2: Convert to fraction form
    90,133.60/135,202.20 = 27,804/x
  3. Step 3: Cross multiply
    90,133.60x = 135,202.20 × 27,804
  4. Step 4: Simplify right side
    90,133.60x = 3,759,161,968.80
  5. Step 5: Solve for x
    x = 3,759,161,968.80/90,133.60
  6. Step 6: Final answer
    x = 41,706.56

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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.