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Finding the Fourth Proportional to 120,005.01, 180,008.19 and 41,119.92

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Solution

The fourth proportional to 120,005.01, 180,008.19 and 41,119.92 is: 61,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,005.01 : 180,008.19 = 41,119.92 : x
  2. Step 2: Convert to fraction form
    120,005.01/180,008.19 = 41,119.92/x
  3. Step 3: Cross multiply
    120,005.01x = 180,008.19 × 41,119.92
  4. Step 4: Simplify right side
    120,005.01x = 7,401,922,372.14
  5. Step 5: Solve for x
    x = 7,401,922,372.14/120,005.01
  6. Step 6: Final answer
    x = 61,680.11

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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.