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Finding the Fourth Proportional to 131,804.86, 197,707.22 and 31,965.03

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Solution

The fourth proportional to 131,804.86, 197,707.22 and 31,965.03 is: 47,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,804.86 : 197,707.22 = 31,965.03 : x
  2. Step 2: Convert to fraction form
    131,804.86/197,707.22 = 31,965.03/x
  3. Step 3: Cross multiply
    131,804.86x = 197,707.22 × 31,965.03
  4. Step 4: Simplify right side
    131,804.86x = 6,319,717,058.69
  5. Step 5: Solve for x
    x = 6,319,717,058.69/131,804.86
  6. Step 6: Final answer
    x = 47,947.53

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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.