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Finding the Fourth Proportional to 150,002.40, 207,003.50 and 82,019.68

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Solution

The fourth proportional to 150,002.40, 207,003.50 and 82,019.68 is: 113,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002.40 : 207,003.50 = 82,019.68 : x
  2. Step 2: Convert to fraction form
    150,002.40/207,003.50 = 82,019.68/x
  3. Step 3: Cross multiply
    150,002.40x = 207,003.50 × 82,019.68
  4. Step 4: Simplify right side
    150,002.40x = 16,978,360,828.88
  5. Step 5: Solve for x
    x = 16,978,360,828.88/150,002.40
  6. Step 6: Final answer
    x = 113,187.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.