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Finding the Fourth Proportional to 128,027.20, 192,040.80 and 65,819.20

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Solution

The fourth proportional to 128,027.20, 192,040.80 and 65,819.20 is: 98,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,027.20 : 192,040.80 = 65,819.20 : x
  2. Step 2: Convert to fraction form
    128,027.20/192,040.80 = 65,819.20/x
  3. Step 3: Cross multiply
    128,027.20x = 192,040.80 × 65,819.20
  4. Step 4: Simplify right side
    128,027.20x = 12,639,971,823.36
  5. Step 5: Solve for x
    x = 12,639,971,823.36/128,027.20
  6. Step 6: Final answer
    x = 98,728.80

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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.