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Finding the Fourth Proportional to 81,906.10, 122,859.15 and 40,434.10

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Solution

The fourth proportional to 81,906.10, 122,859.15 and 40,434.10 is: 60,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.10 : 122,859.15 = 40,434.10 : x
  2. Step 2: Convert to fraction form
    81,906.10/122,859.15 = 40,434.10/x
  3. Step 3: Cross multiply
    81,906.10x = 122,859.15 × 40,434.10
  4. Step 4: Simplify right side
    81,906.10x = 4,967,699,157.02
  5. Step 5: Solve for x
    x = 4,967,699,157.02/81,906.10
  6. Step 6: Final answer
    x = 60,651.15

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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.