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Finding the Fourth Proportional to 137,698.30, 206,568.30 and 48,930.70

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Solution

The fourth proportional to 137,698.30, 206,568.30 and 48,930.70 is: 73,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,698.30 : 206,568.30 = 48,930.70 : x
  2. Step 2: Convert to fraction form
    137,698.30/206,568.30 = 48,930.70/x
  3. Step 3: Cross multiply
    137,698.30x = 206,568.30 × 48,930.70
  4. Step 4: Simplify right side
    137,698.30x = 10,107,531,516.81
  5. Step 5: Solve for x
    x = 10,107,531,516.81/137,698.30
  6. Step 6: Final answer
    x = 73,403.46

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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.