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Finding the Fourth Proportional to 39,878, 55,044.60 and 23,107.76

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Solution

The fourth proportional to 39,878, 55,044.60 and 23,107.76 is: 31,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878 : 55,044.60 = 23,107.76 : x
  2. Step 2: Convert to fraction form
    39,878/55,044.60 = 23,107.76/x
  3. Step 3: Cross multiply
    39,878x = 55,044.60 × 23,107.76
  4. Step 4: Simplify right side
    39,878x = 1,271,957,406.10
  5. Step 5: Solve for x
    x = 1,271,957,406.10/39,878
  6. Step 6: Final answer
    x = 31,896.22

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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.