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Finding the Fourth Proportional to 203,540.80, 305,602.80 and 144,637.60

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Solution

The fourth proportional to 203,540.80, 305,602.80 and 144,637.60 is: 217,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,540.80 : 305,602.80 = 144,637.60 : x
  2. Step 2: Convert to fraction form
    203,540.80/305,602.80 = 144,637.60/x
  3. Step 3: Cross multiply
    203,540.80x = 305,602.80 × 144,637.60
  4. Step 4: Simplify right side
    203,540.80x = 44,201,655,545.28
  5. Step 5: Solve for x
    x = 44,201,655,545.28/203,540.80
  6. Step 6: Final answer
    x = 217,163.61

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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.