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Finding the Fourth Proportional to 137,563.40, 206,150.70 and 84,816.20

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Solution

The fourth proportional to 137,563.40, 206,150.70 and 84,816.20 is: 127,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,563.40 : 206,150.70 = 84,816.20 : x
  2. Step 2: Convert to fraction form
    137,563.40/206,150.70 = 84,816.20/x
  3. Step 3: Cross multiply
    137,563.40x = 206,150.70 × 84,816.20
  4. Step 4: Simplify right side
    137,563.40x = 17,484,919,001.34
  5. Step 5: Solve for x
    x = 17,484,919,001.34/137,563.40
  6. Step 6: Final answer
    x = 127,104.44

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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.