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Finding the Fourth Proportional to 193,105.80, 289,745.10 and 87,870.60

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Solution

The fourth proportional to 193,105.80, 289,745.10 and 87,870.60 is: 131,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,105.80 : 289,745.10 = 87,870.60 : x
  2. Step 2: Convert to fraction form
    193,105.80/289,745.10 = 87,870.60/x
  3. Step 3: Cross multiply
    193,105.80x = 289,745.10 × 87,870.60
  4. Step 4: Simplify right side
    193,105.80x = 25,460,075,784.06
  5. Step 5: Solve for x
    x = 25,460,075,784.06/193,105.80
  6. Step 6: Final answer
    x = 131,845.22

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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.