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Finding the Fourth Proportional to 120,021, 180,047.90 and 44,109.42

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Solution

The fourth proportional to 120,021, 180,047.90 and 44,109.42 is: 66,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,021 : 180,047.90 = 44,109.42 : x
  2. Step 2: Convert to fraction form
    120,021/180,047.90 = 44,109.42/x
  3. Step 3: Cross multiply
    120,021x = 180,047.90 × 44,109.42
  4. Step 4: Simplify right side
    120,021x = 7,941,808,441.22
  5. Step 5: Solve for x
    x = 7,941,808,441.22/120,021
  6. Step 6: Final answer
    x = 66,170.16

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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.