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Finding the Fourth Proportional to 80,020.64, 120,048.82 and 30,101.16

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Solution

The fourth proportional to 80,020.64, 120,048.82 and 30,101.16 is: 45,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,020.64 : 120,048.82 = 30,101.16 : x
  2. Step 2: Convert to fraction form
    80,020.64/120,048.82 = 30,101.16/x
  3. Step 3: Cross multiply
    80,020.64x = 120,048.82 × 30,101.16
  4. Step 4: Simplify right side
    80,020.64x = 3,613,608,738.63
  5. Step 5: Solve for x
    x = 3,613,608,738.63/80,020.64
  6. Step 6: Final answer
    x = 45,158.46

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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.