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Finding the Fourth Proportional to 172,473.25, 258,709.89 and 47,814.25

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Solution

The fourth proportional to 172,473.25, 258,709.89 and 47,814.25 is: 71,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,473.25 : 258,709.89 = 47,814.25 : x
  2. Step 2: Convert to fraction form
    172,473.25/258,709.89 = 47,814.25/x
  3. Step 3: Cross multiply
    172,473.25x = 258,709.89 × 47,814.25
  4. Step 4: Simplify right side
    172,473.25x = 12,370,019,357.93
  5. Step 5: Solve for x
    x = 12,370,019,357.93/172,473.25
  6. Step 6: Final answer
    x = 71,721.38

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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.