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Finding the Fourth Proportional to 120,857.88, 181,224.51 and 54,240.90

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Solution

The fourth proportional to 120,857.88, 181,224.51 and 54,240.90 is: 81,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857.88 : 181,224.51 = 54,240.90 : x
  2. Step 2: Convert to fraction form
    120,857.88/181,224.51 = 54,240.90/x
  3. Step 3: Cross multiply
    120,857.88x = 181,224.51 × 54,240.90
  4. Step 4: Simplify right side
    120,857.88x = 9,829,780,524.46
  5. Step 5: Solve for x
    x = 9,829,780,524.46/120,857.88
  6. Step 6: Final answer
    x = 81,333.39

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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.