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Finding the Fourth Proportional to 203,536.80, 305,596.80 and 144,633.60

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Solution

The fourth proportional to 203,536.80, 305,596.80 and 144,633.60 is: 217,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,536.80 : 305,596.80 = 144,633.60 : x
  2. Step 2: Convert to fraction form
    203,536.80/305,596.80 = 144,633.60/x
  3. Step 3: Cross multiply
    203,536.80x = 305,596.80 × 144,633.60
  4. Step 4: Simplify right side
    203,536.80x = 44,199,565,332.48
  5. Step 5: Solve for x
    x = 44,199,565,332.48/203,536.80
  6. Step 6: Final answer
    x = 217,157.61

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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.