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Finding the Fourth Proportional to 120,905.80, 181,421.70 and 57,797.08

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Solution

The fourth proportional to 120,905.80, 181,421.70 and 57,797.08 is: 86,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,905.80 : 181,421.70 = 57,797.08 : x
  2. Step 2: Convert to fraction form
    120,905.80/181,421.70 = 57,797.08/x
  3. Step 3: Cross multiply
    120,905.80x = 181,421.70 × 57,797.08
  4. Step 4: Simplify right side
    120,905.80x = 10,485,644,508.64
  5. Step 5: Solve for x
    x = 10,485,644,508.64/120,905.80
  6. Step 6: Final answer
    x = 86,725.74

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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.