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Finding the Fourth Proportional to 139,685.85, 209,561.31 and 39,847.41

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Solution

The fourth proportional to 139,685.85, 209,561.31 and 39,847.41 is: 59,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,685.85 : 209,561.31 = 39,847.41 : x
  2. Step 2: Convert to fraction form
    139,685.85/209,561.31 = 39,847.41/x
  3. Step 3: Cross multiply
    139,685.85x = 209,561.31 × 39,847.41
  4. Step 4: Simplify right side
    139,685.85x = 8,350,475,439.71
  5. Step 5: Solve for x
    x = 8,350,475,439.71/139,685.85
  6. Step 6: Final answer
    x = 59,780.40

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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.