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Finding the Fourth Proportional to 131,839, 197,756.80 and 32,000

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Solution

The fourth proportional to 131,839, 197,756.80 and 32,000 is: 47,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,839 : 197,756.80 = 32,000 : x
  2. Step 2: Convert to fraction form
    131,839/197,756.80 = 32,000/x
  3. Step 3: Cross multiply
    131,839x = 197,756.80 × 32,000
  4. Step 4: Simplify right side
    131,839x = 6,328,217,600
  5. Step 5: Solve for x
    x = 6,328,217,600/131,839
  6. Step 6: Final answer
    x = 47,999.59

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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.