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Finding the Fourth Proportional to 258,249.96, 387,364.38 and 71,256.68

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Solution

The fourth proportional to 258,249.96, 387,364.38 and 71,256.68 is: 106,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,249.96 : 387,364.38 = 71,256.68 : x
  2. Step 2: Convert to fraction form
    258,249.96/387,364.38 = 71,256.68/x
  3. Step 3: Cross multiply
    258,249.96x = 387,364.38 × 71,256.68
  4. Step 4: Simplify right side
    258,249.96x = 27,602,299,669.06
  5. Step 5: Solve for x
    x = 27,602,299,669.06/258,249.96
  6. Step 6: Final answer
    x = 106,882.11

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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.