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Finding the Fourth Proportional to 254,864.25, 351,713.07 and 141,687

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Solution

The fourth proportional to 254,864.25, 351,713.07 and 141,687 is: 195,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,864.25 : 351,713.07 = 141,687 : x
  2. Step 2: Convert to fraction form
    254,864.25/351,713.07 = 141,687/x
  3. Step 3: Cross multiply
    254,864.25x = 351,713.07 × 141,687
  4. Step 4: Simplify right side
    254,864.25x = 49,833,169,749.09
  5. Step 5: Solve for x
    x = 49,833,169,749.09/254,864.25
  6. Step 6: Final answer
    x = 195,528.29

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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.