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Finding the Fourth Proportional to 100,409.60, 150,614.40 and 30,279.80

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Solution

The fourth proportional to 100,409.60, 150,614.40 and 30,279.80 is: 45,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.60 : 150,614.40 = 30,279.80 : x
  2. Step 2: Convert to fraction form
    100,409.60/150,614.40 = 30,279.80/x
  3. Step 3: Cross multiply
    100,409.60x = 150,614.40 × 30,279.80
  4. Step 4: Simplify right side
    100,409.60x = 4,560,573,909.12
  5. Step 5: Solve for x
    x = 4,560,573,909.12/100,409.60
  6. Step 6: Final answer
    x = 45,419.70

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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.