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Finding the Fourth Proportional to 257,164.94, 354,893.38 and 146,781.39

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Solution

The fourth proportional to 257,164.94, 354,893.38 and 146,781.39 is: 202,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.94 : 354,893.38 = 146,781.39 : x
  2. Step 2: Convert to fraction form
    257,164.94/354,893.38 = 146,781.39/x
  3. Step 3: Cross multiply
    257,164.94x = 354,893.38 × 146,781.39
  4. Step 4: Simplify right side
    257,164.94x = 52,091,744,582.09
  5. Step 5: Solve for x
    x = 52,091,744,582.09/257,164.94
  6. Step 6: Final answer
    x = 202,561.61

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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.