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Finding the Fourth Proportional to 203,428.80, 305,143.20 and 137,073.60

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Solution

The fourth proportional to 203,428.80, 305,143.20 and 137,073.60 is: 205,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,428.80 : 305,143.20 = 137,073.60 : x
  2. Step 2: Convert to fraction form
    203,428.80/305,143.20 = 137,073.60/x
  3. Step 3: Cross multiply
    203,428.80x = 305,143.20 × 137,073.60
  4. Step 4: Simplify right side
    203,428.80x = 41,827,076,939.52
  5. Step 5: Solve for x
    x = 41,827,076,939.52/203,428.80
  6. Step 6: Final answer
    x = 205,610.40

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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.