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Finding the Fourth Proportional to 172,002, 258,012.72 and 61,194

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Solution

The fourth proportional to 172,002, 258,012.72 and 61,194 is: 91,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,002 : 258,012.72 = 61,194 : x
  2. Step 2: Convert to fraction form
    172,002/258,012.72 = 61,194/x
  3. Step 3: Cross multiply
    172,002x = 258,012.72 × 61,194
  4. Step 4: Simplify right side
    172,002x = 15,788,830,387.68
  5. Step 5: Solve for x
    x = 15,788,830,387.68/172,002
  6. Step 6: Final answer
    x = 91,794.46

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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.