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Finding the Fourth Proportional to 51,252.34, 76,903.13 and 27,878.78

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Solution

The fourth proportional to 51,252.34, 76,903.13 and 27,878.78 is: 41,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,252.34 : 76,903.13 = 27,878.78 : x
  2. Step 2: Convert to fraction form
    51,252.34/76,903.13 = 27,878.78/x
  3. Step 3: Cross multiply
    51,252.34x = 76,903.13 × 27,878.78
  4. Step 4: Simplify right side
    51,252.34x = 2,143,965,442.58
  5. Step 5: Solve for x
    x = 2,143,965,442.58/51,252.34
  6. Step 6: Final answer
    x = 41,831.56

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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.