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Finding the Fourth Proportional to 282,600, 423,900.96 and 85,608

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Solution

The fourth proportional to 282,600, 423,900.96 and 85,608 is: 128,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,600 : 423,900.96 = 85,608 : x
  2. Step 2: Convert to fraction form
    282,600/423,900.96 = 85,608/x
  3. Step 3: Cross multiply
    282,600x = 423,900.96 × 85,608
  4. Step 4: Simplify right side
    282,600x = 36,289,313,383.68
  5. Step 5: Solve for x
    x = 36,289,313,383.68/282,600
  6. Step 6: Final answer
    x = 128,412.29

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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.