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Finding the Fourth Proportional to 218,227.23, 301,150.71 and 122,733.90

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Solution

The fourth proportional to 218,227.23, 301,150.71 and 122,733.90 is: 169,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,227.23 : 301,150.71 = 122,733.90 : x
  2. Step 2: Convert to fraction form
    218,227.23/301,150.71 = 122,733.90/x
  3. Step 3: Cross multiply
    218,227.23x = 301,150.71 × 122,733.90
  4. Step 4: Simplify right side
    218,227.23x = 36,961,401,126.07
  5. Step 5: Solve for x
    x = 36,961,401,126.07/218,227.23
  6. Step 6: Final answer
    x = 169,371.17

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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.