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Finding the Fourth Proportional to 80,070, 120,083.40 and 30,146.64

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Solution

The fourth proportional to 80,070, 120,083.40 and 30,146.64 is: 45,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,070 : 120,083.40 = 30,146.64 : x
  2. Step 2: Convert to fraction form
    80,070/120,083.40 = 30,146.64/x
  3. Step 3: Cross multiply
    80,070x = 120,083.40 × 30,146.64
  4. Step 4: Simplify right side
    80,070x = 3,620,111,029.78
  5. Step 5: Solve for x
    x = 3,620,111,029.78/80,070
  6. Step 6: Final answer
    x = 45,211.83

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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.