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Finding the Fourth Proportional to 192,457.60, 288,532.80 and 81,558.40

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Solution

The fourth proportional to 192,457.60, 288,532.80 and 81,558.40 is: 122,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,457.60 : 288,532.80 = 81,558.40 : x
  2. Step 2: Convert to fraction form
    192,457.60/288,532.80 = 81,558.40/x
  3. Step 3: Cross multiply
    192,457.60x = 288,532.80 × 81,558.40
  4. Step 4: Simplify right side
    192,457.60x = 23,532,273,515.52
  5. Step 5: Solve for x
    x = 23,532,273,515.52/192,457.60
  6. Step 6: Final answer
    x = 122,272.51

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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.