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Finding the Fourth Proportional to 100,178.57, 150,323.19 and 55,830.31

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Solution

The fourth proportional to 100,178.57, 150,323.19 and 55,830.31 is: 83,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.57 : 150,323.19 = 55,830.31 : x
  2. Step 2: Convert to fraction form
    100,178.57/150,323.19 = 55,830.31/x
  3. Step 3: Cross multiply
    100,178.57x = 150,323.19 × 55,830.31
  4. Step 4: Simplify right side
    100,178.57x = 8,392,590,872.33
  5. Step 5: Solve for x
    x = 8,392,590,872.33/100,178.57
  6. Step 6: Final answer
    x = 83,776.31

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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.