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Finding the Fourth Proportional to 172,165, 258,257.26 and 61,357

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Solution

The fourth proportional to 172,165, 258,257.26 and 61,357 is: 92,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,165 : 258,257.26 = 61,357 : x
  2. Step 2: Convert to fraction form
    172,165/258,257.26 = 61,357/x
  3. Step 3: Cross multiply
    172,165x = 258,257.26 × 61,357
  4. Step 4: Simplify right side
    172,165x = 15,845,890,701.82
  5. Step 5: Solve for x
    x = 15,845,890,701.82/172,165
  6. Step 6: Final answer
    x = 92,038.98

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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.