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Finding the Fourth Proportional to 137,912.10, 206,864.03 and 38,078.39

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Solution

The fourth proportional to 137,912.10, 206,864.03 and 38,078.39 is: 57,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,912.10 : 206,864.03 = 38,078.39 : x
  2. Step 2: Convert to fraction form
    137,912.10/206,864.03 = 38,078.39/x
  3. Step 3: Cross multiply
    137,912.10x = 206,864.03 × 38,078.39
  4. Step 4: Simplify right side
    137,912.10x = 7,877,047,986.60
  5. Step 5: Solve for x
    x = 7,877,047,986.60/137,912.10
  6. Step 6: Final answer
    x = 57,116.44

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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.