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Finding the Fourth Proportional to 144,857.78, 217,242.19 and 100,166.29

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Solution

The fourth proportional to 144,857.78, 217,242.19 and 100,166.29 is: 150,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,857.78 : 217,242.19 = 100,166.29 : x
  2. Step 2: Convert to fraction form
    144,857.78/217,242.19 = 100,166.29/x
  3. Step 3: Cross multiply
    144,857.78x = 217,242.19 × 100,166.29
  4. Step 4: Simplify right side
    144,857.78x = 21,760,343,785.88
  5. Step 5: Solve for x
    x = 21,760,343,785.88/144,857.78
  6. Step 6: Final answer
    x = 150,218.68

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1.5x scale

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.