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Finding the Fourth Proportional to 120,735.42, 181,102.97 and 45,855.42

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Solution

The fourth proportional to 120,735.42, 181,102.97 and 45,855.42 is: 68,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,735.42 : 181,102.97 = 45,855.42 : x
  2. Step 2: Convert to fraction form
    120,735.42/181,102.97 = 45,855.42/x
  3. Step 3: Cross multiply
    120,735.42x = 181,102.97 × 45,855.42
  4. Step 4: Simplify right side
    120,735.42x = 8,304,552,695.28
  5. Step 5: Solve for x
    x = 8,304,552,695.28/120,735.42
  6. Step 6: Final answer
    x = 68,783.07

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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.