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Finding the Fourth Proportional to 131,804.91, 197,319.78 and 81,724.23

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Solution

The fourth proportional to 131,804.91, 197,319.78 and 81,724.23 is: 122,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,804.91 : 197,319.78 = 81,724.23 : x
  2. Step 2: Convert to fraction form
    131,804.91/197,319.78 = 81,724.23/x
  3. Step 3: Cross multiply
    131,804.91x = 197,319.78 × 81,724.23
  4. Step 4: Simplify right side
    131,804.91x = 16,125,807,084.27
  5. Step 5: Solve for x
    x = 16,125,807,084.27/131,804.91
  6. Step 6: Final answer
    x = 122,346.03

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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.