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Finding the Fourth Proportional to 120,808.98, 181,188.83 and 45,902.86

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Solution

The fourth proportional to 120,808.98, 181,188.83 and 45,902.86 is: 68,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,808.98 : 181,188.83 = 45,902.86 : x
  2. Step 2: Convert to fraction form
    120,808.98/181,188.83 = 45,902.86/x
  3. Step 3: Cross multiply
    120,808.98x = 181,188.83 × 45,902.86
  4. Step 4: Simplify right side
    120,808.98x = 8,317,085,158.84
  5. Step 5: Solve for x
    x = 8,317,085,158.84/120,808.98
  6. Step 6: Final answer
    x = 68,844.92

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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.