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Finding the Fourth Proportional to 100,408.64, 150,638.27 and 70,884.14

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Solution

The fourth proportional to 100,408.64, 150,638.27 and 70,884.14 is: 106,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.64 : 150,638.27 = 70,884.14 : x
  2. Step 2: Convert to fraction form
    100,408.64/150,638.27 = 70,884.14/x
  3. Step 3: Cross multiply
    100,408.64x = 150,638.27 × 70,884.14
  4. Step 4: Simplify right side
    100,408.64x = 10,677,863,112.43
  5. Step 5: Solve for x
    x = 10,677,863,112.43/100,408.64
  6. Step 6: Final answer
    x = 106,344.07

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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.