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Finding the Fourth Proportional to 81,127.20, 121,690.80 and 78,016.80

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Solution

The fourth proportional to 81,127.20, 121,690.80 and 78,016.80 is: 117,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,127.20 : 121,690.80 = 78,016.80 : x
  2. Step 2: Convert to fraction form
    81,127.20/121,690.80 = 78,016.80/x
  3. Step 3: Cross multiply
    81,127.20x = 121,690.80 × 78,016.80
  4. Step 4: Simplify right side
    81,127.20x = 9,493,926,805.44
  5. Step 5: Solve for x
    x = 9,493,926,805.44/81,127.20
  6. Step 6: Final answer
    x = 117,025.20

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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.