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Finding the Fourth Proportional to 129,008, 193,524.23 and 50,128.32

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Solution

The fourth proportional to 129,008, 193,524.23 and 50,128.32 is: 75,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,008 : 193,524.23 = 50,128.32 : x
  2. Step 2: Convert to fraction form
    129,008/193,524.23 = 50,128.32/x
  3. Step 3: Cross multiply
    129,008x = 193,524.23 × 50,128.32
  4. Step 4: Simplify right side
    129,008x = 9,701,044,529.19
  5. Step 5: Solve for x
    x = 9,701,044,529.19/129,008
  6. Step 6: Final answer
    x = 75,197.23

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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.