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Finding the Fourth Proportional to 170,204, 255,306 and 45,541.76

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Solution

The fourth proportional to 170,204, 255,306 and 45,541.76 is: 68,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,204 : 255,306 = 45,541.76 : x
  2. Step 2: Convert to fraction form
    170,204/255,306 = 45,541.76/x
  3. Step 3: Cross multiply
    170,204x = 255,306 × 45,541.76
  4. Step 4: Simplify right side
    170,204x = 11,627,084,578.56
  5. Step 5: Solve for x
    x = 11,627,084,578.56/170,204
  6. Step 6: Final answer
    x = 68,312.64

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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.