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Finding the Fourth Proportional to 137,121.54, 205,756.13 and 136,704.20

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Solution

The fourth proportional to 137,121.54, 205,756.13 and 136,704.20 is: 205,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,121.54 : 205,756.13 = 136,704.20 : x
  2. Step 2: Convert to fraction form
    137,121.54/205,756.13 = 136,704.20/x
  3. Step 3: Cross multiply
    137,121.54x = 205,756.13 × 136,704.20
  4. Step 4: Simplify right side
    137,121.54x = 28,127,725,434.44
  5. Step 5: Solve for x
    x = 28,127,725,434.44/137,121.54
  6. Step 6: Final answer
    x = 205,129.88

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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.