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Finding the Fourth Proportional to 49,855.76, 68,732.04 and 39,818

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Solution

The fourth proportional to 49,855.76, 68,732.04 and 39,818 is: 54,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,855.76 : 68,732.04 = 39,818 : x
  2. Step 2: Convert to fraction form
    49,855.76/68,732.04 = 39,818/x
  3. Step 3: Cross multiply
    49,855.76x = 68,732.04 × 39,818
  4. Step 4: Simplify right side
    49,855.76x = 2,736,772,368.72
  5. Step 5: Solve for x
    x = 2,736,772,368.72/49,855.76
  6. Step 6: Final answer
    x = 54,893.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.