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Finding the Fourth Proportional to 49,878, 68,831.64 and 27,522

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Solution

The fourth proportional to 49,878, 68,831.64 and 27,522 is: 37,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878 : 68,831.64 = 27,522 : x
  2. Step 2: Convert to fraction form
    49,878/68,831.64 = 27,522/x
  3. Step 3: Cross multiply
    49,878x = 68,831.64 × 27,522
  4. Step 4: Simplify right side
    49,878x = 1,894,384,396.08
  5. Step 5: Solve for x
    x = 1,894,384,396.08/49,878
  6. Step 6: Final answer
    x = 37,980.36

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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.