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Finding the Fourth Proportional to 137,653.20, 206,609.40 and 85,165.20

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Solution

The fourth proportional to 137,653.20, 206,609.40 and 85,165.20 is: 127,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.20 : 206,609.40 = 85,165.20 : x
  2. Step 2: Convert to fraction form
    137,653.20/206,609.40 = 85,165.20/x
  3. Step 3: Cross multiply
    137,653.20x = 206,609.40 × 85,165.20
  4. Step 4: Simplify right side
    137,653.20x = 17,595,930,872.88
  5. Step 5: Solve for x
    x = 17,595,930,872.88/137,653.20
  6. Step 6: Final answer
    x = 127,827.98

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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.