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Finding the Fourth Proportional to 172,578, 258,867 and 47,919.12

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Solution

The fourth proportional to 172,578, 258,867 and 47,919.12 is: 71,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,578 : 258,867 = 47,919.12 : x
  2. Step 2: Convert to fraction form
    172,578/258,867 = 47,919.12/x
  3. Step 3: Cross multiply
    172,578x = 258,867 × 47,919.12
  4. Step 4: Simplify right side
    172,578x = 12,404,678,837.04
  5. Step 5: Solve for x
    x = 12,404,678,837.04/172,578
  6. Step 6: Final answer
    x = 71,878.68

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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.