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Finding the Fourth Proportional to 100,158.36, 150,257.59 and 36,978.87

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Solution

The fourth proportional to 100,158.36, 150,257.59 and 36,978.87 is: 55,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,158.36 : 150,257.59 = 36,978.87 : x
  2. Step 2: Convert to fraction form
    100,158.36/150,257.59 = 36,978.87/x
  3. Step 3: Cross multiply
    100,158.36x = 150,257.59 × 36,978.87
  4. Step 4: Simplify right side
    100,158.36x = 5,556,355,887.12
  5. Step 5: Solve for x
    x = 5,556,355,887.12/100,158.36
  6. Step 6: Final answer
    x = 55,475.71

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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.