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Finding the Fourth Proportional to 128,418.56, 192,743.68 and 75,875.84

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Solution

The fourth proportional to 128,418.56, 192,743.68 and 75,875.84 is: 113,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,418.56 : 192,743.68 = 75,875.84 : x
  2. Step 2: Convert to fraction form
    128,418.56/192,743.68 = 75,875.84/x
  3. Step 3: Cross multiply
    128,418.56x = 192,743.68 × 75,875.84
  4. Step 4: Simplify right side
    128,418.56x = 14,624,588,624.69
  5. Step 5: Solve for x
    x = 14,624,588,624.69/128,418.56
  6. Step 6: Final answer
    x = 113,882.20

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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.