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Finding the Fourth Proportional to 80,370, 120,531.78 and 27,056.16

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Solution

The fourth proportional to 80,370, 120,531.78 and 27,056.16 is: 40,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,370 : 120,531.78 = 27,056.16 : x
  2. Step 2: Convert to fraction form
    80,370/120,531.78 = 27,056.16/x
  3. Step 3: Cross multiply
    80,370x = 120,531.78 × 27,056.16
  4. Step 4: Simplify right side
    80,370x = 3,261,127,124.76
  5. Step 5: Solve for x
    x = 3,261,127,124.76/80,370
  6. Step 6: Final answer
    x = 40,576.42

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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.