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Finding the Fourth Proportional to 40,810, 56,320.49 and 22,906.22

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Solution

The fourth proportional to 40,810, 56,320.49 and 22,906.22 is: 31,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,810 : 56,320.49 = 22,906.22 : x
  2. Step 2: Convert to fraction form
    40,810/56,320.49 = 22,906.22/x
  3. Step 3: Cross multiply
    40,810x = 56,320.49 × 22,906.22
  4. Step 4: Simplify right side
    40,810x = 1,290,089,534.45
  5. Step 5: Solve for x
    x = 1,290,089,534.45/40,810
  6. Step 6: Final answer
    x = 31,612.09

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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.