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Finding the Fourth Proportional to 128,046.80, 192,063.80 and 65,723.60

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Solution

The fourth proportional to 128,046.80, 192,063.80 and 65,723.60 is: 98,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,046.80 : 192,063.80 = 65,723.60 : x
  2. Step 2: Convert to fraction form
    128,046.80/192,063.80 = 65,723.60/x
  3. Step 3: Cross multiply
    128,046.80x = 192,063.80 × 65,723.60
  4. Step 4: Simplify right side
    128,046.80x = 12,623,124,365.68
  5. Step 5: Solve for x
    x = 12,623,124,365.68/128,046.80
  6. Step 6: Final answer
    x = 98,582.12

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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.