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Finding the Fourth Proportional to 172,667.62, 258,933.36 and 83,894.86

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Solution

The fourth proportional to 172,667.62, 258,933.36 and 83,894.86 is: 125,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,667.62 : 258,933.36 = 83,894.86 : x
  2. Step 2: Convert to fraction form
    172,667.62/258,933.36 = 83,894.86/x
  3. Step 3: Cross multiply
    172,667.62x = 258,933.36 × 83,894.86
  4. Step 4: Simplify right side
    172,667.62x = 21,723,177,986.53
  5. Step 5: Solve for x
    x = 21,723,177,986.53/172,667.62
  6. Step 6: Final answer
    x = 125,809.22

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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.