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Finding the Fourth Proportional to 226,831, 313,026.96 and 131,342.80

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Solution

The fourth proportional to 226,831, 313,026.96 and 131,342.80 is: 181,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,831 : 313,026.96 = 131,342.80 : x
  2. Step 2: Convert to fraction form
    226,831/313,026.96 = 131,342.80/x
  3. Step 3: Cross multiply
    226,831x = 313,026.96 × 131,342.80
  4. Step 4: Simplify right side
    226,831x = 41,113,837,401.89
  5. Step 5: Solve for x
    x = 41,113,837,401.89/226,831
  6. Step 6: Final answer
    x = 181,253.17

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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.