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Finding the Fourth Proportional to 137,858.20, 206,787.30 and 54,752.20

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Solution

The fourth proportional to 137,858.20, 206,787.30 and 54,752.20 is: 82,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,858.20 : 206,787.30 = 54,752.20 : x
  2. Step 2: Convert to fraction form
    137,858.20/206,787.30 = 54,752.20/x
  3. Step 3: Cross multiply
    137,858.20x = 206,787.30 × 54,752.20
  4. Step 4: Simplify right side
    137,858.20x = 11,322,059,607.06
  5. Step 5: Solve for x
    x = 11,322,059,607.06/137,858.20
  6. Step 6: Final answer
    x = 82,128.30

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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.