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Finding the Fourth Proportional to 218,237.42, 301,164.74 and 122,744.12

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Solution

The fourth proportional to 218,237.42, 301,164.74 and 122,744.12 is: 169,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,237.42 : 301,164.74 = 122,744.12 : x
  2. Step 2: Convert to fraction form
    218,237.42/301,164.74 = 122,744.12/x
  3. Step 3: Cross multiply
    218,237.42x = 301,164.74 × 122,744.12
  4. Step 4: Simplify right side
    218,237.42x = 36,966,200,986.33
  5. Step 5: Solve for x
    x = 36,966,200,986.33/218,237.42
  6. Step 6: Final answer
    x = 169,385.25

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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.