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Finding the Fourth Proportional to 39,866, 55,018.32 and 23,102.24

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Solution

The fourth proportional to 39,866, 55,018.32 and 23,102.24 is: 31,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 55,018.32 = 23,102.24 : x
  2. Step 2: Convert to fraction form
    39,866/55,018.32 = 23,102.24/x
  3. Step 3: Cross multiply
    39,866x = 55,018.32 × 23,102.24
  4. Step 4: Simplify right side
    39,866x = 1,271,046,433.04
  5. Step 5: Solve for x
    x = 1,271,046,433.04/39,866
  6. Step 6: Final answer
    x = 31,882.97

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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.