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Finding the Fourth Proportional to 137,640.81, 206,481.74 and 48,886.86

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Solution

The fourth proportional to 137,640.81, 206,481.74 and 48,886.86 is: 73,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.81 : 206,481.74 = 48,886.86 : x
  2. Step 2: Convert to fraction form
    137,640.81/206,481.74 = 48,886.86/x
  3. Step 3: Cross multiply
    137,640.81x = 206,481.74 × 48,886.86
  4. Step 4: Simplify right side
    137,640.81x = 10,094,243,671.50
  5. Step 5: Solve for x
    x = 10,094,243,671.50/137,640.81
  6. Step 6: Final answer
    x = 73,337.58

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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.