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Finding the Fourth Proportional to 137,571.88, 189,857.10 and 77,161.90

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Solution

The fourth proportional to 137,571.88, 189,857.10 and 77,161.90 is: 106,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,571.88 : 189,857.10 = 77,161.90 : x
  2. Step 2: Convert to fraction form
    137,571.88/189,857.10 = 77,161.90/x
  3. Step 3: Cross multiply
    137,571.88x = 189,857.10 × 77,161.90
  4. Step 4: Simplify right side
    137,571.88x = 14,649,734,564.49
  5. Step 5: Solve for x
    x = 14,649,734,564.49/137,571.88
  6. Step 6: Final answer
    x = 106,487.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.