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Finding the Fourth Proportional to 257,902.93, 355,913.09 and 144,732.61

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Solution

The fourth proportional to 257,902.93, 355,913.09 and 144,732.61 is: 199,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,902.93 : 355,913.09 = 144,732.61 : x
  2. Step 2: Convert to fraction form
    257,902.93/355,913.09 = 144,732.61/x
  3. Step 3: Cross multiply
    257,902.93x = 355,913.09 × 144,732.61
  4. Step 4: Simplify right side
    257,902.93x = 51,512,230,448.86
  5. Step 5: Solve for x
    x = 51,512,230,448.86/257,902.93
  6. Step 6: Final answer
    x = 199,734.96

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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.