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Finding the Fourth Proportional to 100,805.60, 151,208.40 and 82,143.20

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Solution

The fourth proportional to 100,805.60, 151,208.40 and 82,143.20 is: 123,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,805.60 : 151,208.40 = 82,143.20 : x
  2. Step 2: Convert to fraction form
    100,805.60/151,208.40 = 82,143.20/x
  3. Step 3: Cross multiply
    100,805.60x = 151,208.40 × 82,143.20
  4. Step 4: Simplify right side
    100,805.60x = 12,420,741,842.88
  5. Step 5: Solve for x
    x = 12,420,741,842.88/100,805.60
  6. Step 6: Final answer
    x = 123,214.80

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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.