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Finding the Fourth Proportional to 257,379.12, 355,192.92 and 144,198

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Solution

The fourth proportional to 257,379.12, 355,192.92 and 144,198 is: 198,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,379.12 : 355,192.92 = 144,198 : x
  2. Step 2: Convert to fraction form
    257,379.12/355,192.92 = 144,198/x
  3. Step 3: Cross multiply
    257,379.12x = 355,192.92 × 144,198
  4. Step 4: Simplify right side
    257,379.12x = 51,218,108,678.16
  5. Step 5: Solve for x
    x = 51,218,108,678.16/257,379.12
  6. Step 6: Final answer
    x = 198,998.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.