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Finding the Fourth Proportional to 131,829.98, 197,743.32 and 31,991

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Solution

The fourth proportional to 131,829.98, 197,743.32 and 31,991 is: 47,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,829.98 : 197,743.32 = 31,991 : x
  2. Step 2: Convert to fraction form
    131,829.98/197,743.32 = 31,991/x
  3. Step 3: Cross multiply
    131,829.98x = 197,743.32 × 31,991
  4. Step 4: Simplify right side
    131,829.98x = 6,326,006,550.12
  5. Step 5: Solve for x
    x = 6,326,006,550.12/131,829.98
  6. Step 6: Final answer
    x = 47,986.10

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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.