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Finding the Fourth Proportional to 137,914.40, 206,871.60 and 128,072.90

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Solution

The fourth proportional to 137,914.40, 206,871.60 and 128,072.90 is: 192,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,914.40 : 206,871.60 = 128,072.90 : x
  2. Step 2: Convert to fraction form
    137,914.40/206,871.60 = 128,072.90/x
  3. Step 3: Cross multiply
    137,914.40x = 206,871.60 × 128,072.90
  4. Step 4: Simplify right side
    137,914.40x = 26,494,645,739.64
  5. Step 5: Solve for x
    x = 26,494,645,739.64/137,914.40
  6. Step 6: Final answer
    x = 192,109.35

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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.