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Finding the Fourth Proportional to 100,178.10, 150,028.62 and 57,969.23

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Solution

The fourth proportional to 100,178.10, 150,028.62 and 57,969.23 is: 86,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.10 : 150,028.62 = 57,969.23 : x
  2. Step 2: Convert to fraction form
    100,178.10/150,028.62 = 57,969.23/x
  3. Step 3: Cross multiply
    100,178.10x = 150,028.62 × 57,969.23
  4. Step 4: Simplify right side
    100,178.10x = 8,697,042,539.37
  5. Step 5: Solve for x
    x = 8,697,042,539.37/100,178.10
  6. Step 6: Final answer
    x = 86,815.81

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1.5x scale

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.