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Finding the Fourth Proportional to 137,122.54, 205,757.63 and 136,705.20

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Solution

The fourth proportional to 137,122.54, 205,757.63 and 136,705.20 is: 205,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,122.54 : 205,757.63 = 136,705.20 : x
  2. Step 2: Convert to fraction form
    137,122.54/205,757.63 = 136,705.20/x
  3. Step 3: Cross multiply
    137,122.54x = 205,757.63 × 136,705.20
  4. Step 4: Simplify right side
    137,122.54x = 28,128,137,960.68
  5. Step 5: Solve for x
    x = 28,128,137,960.68/137,122.54
  6. Step 6: Final answer
    x = 205,131.40

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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.