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Finding the Fourth Proportional to 117,446.97, 162,078 and 63,732.45

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Solution

The fourth proportional to 117,446.97, 162,078 and 63,732.45 is: 87,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,446.97 : 162,078 = 63,732.45 : x
  2. Step 2: Convert to fraction form
    117,446.97/162,078 = 63,732.45/x
  3. Step 3: Cross multiply
    117,446.97x = 162,078 × 63,732.45
  4. Step 4: Simplify right side
    117,446.97x = 10,329,628,031.10
  5. Step 5: Solve for x
    x = 10,329,628,031.10/117,446.97
  6. Step 6: Final answer
    x = 87,951.42

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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.