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Finding the Fourth Proportional to 218,418.26, 301,426.90 and 122,931.14

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Solution

The fourth proportional to 218,418.26, 301,426.90 and 122,931.14 is: 169,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,418.26 : 301,426.90 = 122,931.14 : x
  2. Step 2: Convert to fraction form
    218,418.26/301,426.90 = 122,931.14/x
  3. Step 3: Cross multiply
    218,418.26x = 301,426.90 × 122,931.14
  4. Step 4: Simplify right side
    218,418.26x = 37,054,751,075.44
  5. Step 5: Solve for x
    x = 37,054,751,075.44/218,418.26
  6. Step 6: Final answer
    x = 169,650.43

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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.