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Finding the Fourth Proportional to 120,792.33, 181,209.69 and 45,919.02

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Solution

The fourth proportional to 120,792.33, 181,209.69 and 45,919.02 is: 68,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,792.33 : 181,209.69 = 45,919.02 : x
  2. Step 2: Convert to fraction form
    120,792.33/181,209.69 = 45,919.02/x
  3. Step 3: Cross multiply
    120,792.33x = 181,209.69 × 45,919.02
  4. Step 4: Simplify right side
    120,792.33x = 8,320,971,379.30
  5. Step 5: Solve for x
    x = 8,320,971,379.30/120,792.33
  6. Step 6: Final answer
    x = 68,886.59

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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.