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Finding the Fourth Proportional to 139,653.81, 209,449.16 and 39,811.86

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Solution

The fourth proportional to 139,653.81, 209,449.16 and 39,811.86 is: 59,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,653.81 : 209,449.16 = 39,811.86 : x
  2. Step 2: Convert to fraction form
    139,653.81/209,449.16 = 39,811.86/x
  3. Step 3: Cross multiply
    139,653.81x = 209,449.16 × 39,811.86
  4. Step 4: Simplify right side
    139,653.81x = 8,338,560,435.98
  5. Step 5: Solve for x
    x = 8,338,560,435.98/139,653.81
  6. Step 6: Final answer
    x = 59,708.79

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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.