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Finding the Fourth Proportional to 100,412.60, 150,618.90 and 30,282.80

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Solution

The fourth proportional to 100,412.60, 150,618.90 and 30,282.80 is: 45,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.60 : 150,618.90 = 30,282.80 : x
  2. Step 2: Convert to fraction form
    100,412.60/150,618.90 = 30,282.80/x
  3. Step 3: Cross multiply
    100,412.60x = 150,618.90 × 30,282.80
  4. Step 4: Simplify right side
    100,412.60x = 4,561,162,024.92
  5. Step 5: Solve for x
    x = 4,561,162,024.92/100,412.60
  6. Step 6: Final answer
    x = 45,424.20

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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.