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Finding the Fourth Proportional to 182,137.20, 273,205.80 and 103,405.20

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Solution

The fourth proportional to 182,137.20, 273,205.80 and 103,405.20 is: 155,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,137.20 : 273,205.80 = 103,405.20 : x
  2. Step 2: Convert to fraction form
    182,137.20/273,205.80 = 103,405.20/x
  3. Step 3: Cross multiply
    182,137.20x = 273,205.80 × 103,405.20
  4. Step 4: Simplify right side
    182,137.20x = 28,250,900,390.16
  5. Step 5: Solve for x
    x = 28,250,900,390.16/182,137.20
  6. Step 6: Final answer
    x = 155,107.80

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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.