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Finding the Fourth Proportional to 100,157.70, 150,256.71 and 36,978.24

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Solution

The fourth proportional to 100,157.70, 150,256.71 and 36,978.24 is: 55,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.70 : 150,256.71 = 36,978.24 : x
  2. Step 2: Convert to fraction form
    100,157.70/150,256.71 = 36,978.24/x
  3. Step 3: Cross multiply
    100,157.70x = 150,256.71 × 36,978.24
  4. Step 4: Simplify right side
    100,157.70x = 5,556,228,683.99
  5. Step 5: Solve for x
    x = 5,556,228,683.99/100,157.70
  6. Step 6: Final answer
    x = 55,474.80

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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.