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Finding the Fourth Proportional to 131,830.68, 197,744.54 and 31,991.97

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Solution

The fourth proportional to 131,830.68, 197,744.54 and 31,991.97 is: 47,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,830.68 : 197,744.54 = 31,991.97 : x
  2. Step 2: Convert to fraction form
    131,830.68/197,744.54 = 31,991.97/x
  3. Step 3: Cross multiply
    131,830.68x = 197,744.54 × 31,991.97
  4. Step 4: Simplify right side
    131,830.68x = 6,326,237,231.38
  5. Step 5: Solve for x
    x = 6,326,237,231.38/131,830.68
  6. Step 6: Final answer
    x = 47,987.59

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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.