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Finding the Fourth Proportional to 137,165.90, 205,638.12 and 126,094.21

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Solution

The fourth proportional to 137,165.90, 205,638.12 and 126,094.21 is: 189,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,165.90 : 205,638.12 = 126,094.21 : x
  2. Step 2: Convert to fraction form
    137,165.90/205,638.12 = 126,094.21/x
  3. Step 3: Cross multiply
    137,165.90x = 205,638.12 × 126,094.21
  4. Step 4: Simplify right side
    137,165.90x = 25,929,775,773.19
  5. Step 5: Solve for x
    x = 25,929,775,773.19/137,165.90
  6. Step 6: Final answer
    x = 189,039.53

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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.