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Finding the Fourth Proportional to 192,279.70, 288,419.55 and 81,457.30

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Solution

The fourth proportional to 192,279.70, 288,419.55 and 81,457.30 is: 122,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,279.70 : 288,419.55 = 81,457.30 : x
  2. Step 2: Convert to fraction form
    192,279.70/288,419.55 = 81,457.30/x
  3. Step 3: Cross multiply
    192,279.70x = 288,419.55 × 81,457.30
  4. Step 4: Simplify right side
    192,279.70x = 23,493,877,810.22
  5. Step 5: Solve for x
    x = 23,493,877,810.22/192,279.70
  6. Step 6: Final answer
    x = 122,185.95

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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.