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Finding the Fourth Proportional to 172,349.26, 258,569.43 and 78,833.14

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Solution

The fourth proportional to 172,349.26, 258,569.43 and 78,833.14 is: 118,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,349.26 : 258,569.43 = 78,833.14 : x
  2. Step 2: Convert to fraction form
    172,349.26/258,569.43 = 78,833.14/x
  3. Step 3: Cross multiply
    172,349.26x = 258,569.43 × 78,833.14
  4. Step 4: Simplify right side
    172,349.26x = 20,383,840,074.91
  5. Step 5: Solve for x
    x = 20,383,840,074.91/172,349.26
  6. Step 6: Final answer
    x = 118,270.54

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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.