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Finding the Fourth Proportional to 172,153, 258,239.22 and 61,345

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Solution

The fourth proportional to 172,153, 258,239.22 and 61,345 is: 92,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,153 : 258,239.22 = 61,345 : x
  2. Step 2: Convert to fraction form
    172,153/258,239.22 = 61,345/x
  3. Step 3: Cross multiply
    172,153x = 258,239.22 × 61,345
  4. Step 4: Simplify right side
    172,153x = 15,841,684,950.90
  5. Step 5: Solve for x
    x = 15,841,684,950.90/172,153
  6. Step 6: Final answer
    x = 92,020.96

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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.