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Finding the Fourth Proportional to 137,131.20, 205,711.20 and 43,615.20

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Solution

The fourth proportional to 137,131.20, 205,711.20 and 43,615.20 is: 65,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,131.20 : 205,711.20 = 43,615.20 : x
  2. Step 2: Convert to fraction form
    137,131.20/205,711.20 = 43,615.20/x
  3. Step 3: Cross multiply
    137,131.20x = 205,711.20 × 43,615.20
  4. Step 4: Simplify right side
    137,131.20x = 8,972,135,130.24
  5. Step 5: Solve for x
    x = 8,972,135,130.24/137,131.20
  6. Step 6: Final answer
    x = 65,427.38

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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.