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Finding the Fourth Proportional to 137,540.40, 206,310.60 and 102,548.40

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Solution

The fourth proportional to 137,540.40, 206,310.60 and 102,548.40 is: 153,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,540.40 : 206,310.60 = 102,548.40 : x
  2. Step 2: Convert to fraction form
    137,540.40/206,310.60 = 102,548.40/x
  3. Step 3: Cross multiply
    137,540.40x = 206,310.60 × 102,548.40
  4. Step 4: Simplify right side
    137,540.40x = 21,156,821,933.04
  5. Step 5: Solve for x
    x = 21,156,821,933.04/137,540.40
  6. Step 6: Final answer
    x = 153,822.60

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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.