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Finding the Fourth Proportional to 138,072.63, 206,977.68 and 88,012.20

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Solution

The fourth proportional to 138,072.63, 206,977.68 and 88,012.20 is: 131,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072.63 : 206,977.68 = 88,012.20 : x
  2. Step 2: Convert to fraction form
    138,072.63/206,977.68 = 88,012.20/x
  3. Step 3: Cross multiply
    138,072.63x = 206,977.68 × 88,012.20
  4. Step 4: Simplify right side
    138,072.63x = 18,216,560,967.70
  5. Step 5: Solve for x
    x = 18,216,560,967.70/138,072.63
  6. Step 6: Final answer
    x = 131,934.63

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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.