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Finding the Fourth Proportional to 170,890.92, 256,401.96 and 120,338.40

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Solution

The fourth proportional to 170,890.92, 256,401.96 and 120,338.40 is: 180,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,890.92 : 256,401.96 = 120,338.40 : x
  2. Step 2: Convert to fraction form
    170,890.92/256,401.96 = 120,338.40/x
  3. Step 3: Cross multiply
    170,890.92x = 256,401.96 × 120,338.40
  4. Step 4: Simplify right side
    170,890.92x = 30,855,001,623.26
  5. Step 5: Solve for x
    x = 30,855,001,623.26/170,890.92
  6. Step 6: Final answer
    x = 180,553.78

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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.