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Finding the Fourth Proportional to 137,717.40, 206,138.70 and 127,219.80

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Solution

The fourth proportional to 137,717.40, 206,138.70 and 127,219.80 is: 190,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,717.40 : 206,138.70 = 127,219.80 : x
  2. Step 2: Convert to fraction form
    137,717.40/206,138.70 = 127,219.80/x
  3. Step 3: Cross multiply
    137,717.40x = 206,138.70 × 127,219.80
  4. Step 4: Simplify right side
    137,717.40x = 26,224,924,186.26
  5. Step 5: Solve for x
    x = 26,224,924,186.26/137,717.40
  6. Step 6: Final answer
    x = 190,425.64

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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.