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Finding the Fourth Proportional to 131,851.40, 197,922.90 and 81,987.80

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Solution

The fourth proportional to 131,851.40, 197,922.90 and 81,987.80 is: 123,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,851.40 : 197,922.90 = 81,987.80 : x
  2. Step 2: Convert to fraction form
    131,851.40/197,922.90 = 81,987.80/x
  3. Step 3: Cross multiply
    131,851.40x = 197,922.90 × 81,987.80
  4. Step 4: Simplify right side
    131,851.40x = 16,227,263,140.62
  5. Step 5: Solve for x
    x = 16,227,263,140.62/131,851.40
  6. Step 6: Final answer
    x = 123,072.36

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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.