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Finding the Fourth Proportional to 192,218.56, 288,327.84 and 87,035.20

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Solution

The fourth proportional to 192,218.56, 288,327.84 and 87,035.20 is: 130,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,218.56 : 288,327.84 = 87,035.20 : x
  2. Step 2: Convert to fraction form
    192,218.56/288,327.84 = 87,035.20/x
  3. Step 3: Cross multiply
    192,218.56x = 288,327.84 × 87,035.20
  4. Step 4: Simplify right side
    192,218.56x = 25,094,671,219.97
  5. Step 5: Solve for x
    x = 25,094,671,219.97/192,218.56
  6. Step 6: Final answer
    x = 130,552.80

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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.