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Finding the Fourth Proportional to 120,786.84, 181,097.64 and 61,507.80

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Solution

The fourth proportional to 120,786.84, 181,097.64 and 61,507.80 is: 92,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786.84 : 181,097.64 = 61,507.80 : x
  2. Step 2: Convert to fraction form
    120,786.84/181,097.64 = 61,507.80/x
  3. Step 3: Cross multiply
    120,786.84x = 181,097.64 × 61,507.80
  4. Step 4: Simplify right side
    120,786.84x = 11,138,917,421.59
  5. Step 5: Solve for x
    x = 11,138,917,421.59/120,786.84
  6. Step 6: Final answer
    x = 92,219.63

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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.