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Finding the Fourth Proportional to 100,178.57, 150,029.31 and 57,969.68

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Solution

The fourth proportional to 100,178.57, 150,029.31 and 57,969.68 is: 86,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.57 : 150,029.31 = 57,969.68 : x
  2. Step 2: Convert to fraction form
    100,178.57/150,029.31 = 57,969.68/x
  3. Step 3: Cross multiply
    100,178.57x = 150,029.31 × 57,969.68
  4. Step 4: Simplify right side
    100,178.57x = 8,697,150,558.56
  5. Step 5: Solve for x
    x = 8,697,150,558.56/100,178.57
  6. Step 6: Final answer
    x = 86,816.48

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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.