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Finding the Fourth Proportional to 172,164, 258,255.76 and 61,356

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Solution

The fourth proportional to 172,164, 258,255.76 and 61,356 is: 92,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,164 : 258,255.76 = 61,356 : x
  2. Step 2: Convert to fraction form
    172,164/258,255.76 = 61,356/x
  3. Step 3: Cross multiply
    172,164x = 258,255.76 × 61,356
  4. Step 4: Simplify right side
    172,164x = 15,845,540,410.56
  5. Step 5: Solve for x
    x = 15,845,540,410.56/172,164
  6. Step 6: Final answer
    x = 92,037.48

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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.