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Finding the Fourth Proportional to 81,257.60, 121,696.32 and 70,284.80

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Solution

The fourth proportional to 81,257.60, 121,696.32 and 70,284.80 is: 105,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,257.60 : 121,696.32 = 70,284.80 : x
  2. Step 2: Convert to fraction form
    81,257.60/121,696.32 = 70,284.80/x
  3. Step 3: Cross multiply
    81,257.60x = 121,696.32 × 70,284.80
  4. Step 4: Simplify right side
    81,257.60x = 8,553,401,511.94
  5. Step 5: Solve for x
    x = 8,553,401,511.94/81,257.60
  6. Step 6: Final answer
    x = 105,262.79

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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.