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Finding the Fourth Proportional to 203,419.20, 305,128.80 and 55,675.20

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Solution

The fourth proportional to 203,419.20, 305,128.80 and 55,675.20 is: 83,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.20 : 305,128.80 = 55,675.20 : x
  2. Step 2: Convert to fraction form
    203,419.20/305,128.80 = 55,675.20/x
  3. Step 3: Cross multiply
    203,419.20x = 305,128.80 × 55,675.20
  4. Step 4: Simplify right side
    203,419.20x = 16,988,106,965.76
  5. Step 5: Solve for x
    x = 16,988,106,965.76/203,419.20
  6. Step 6: Final answer
    x = 83,512.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.