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Finding the Fourth Proportional to 172,930.59, 259,397.10 and 54,611.46

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Solution

The fourth proportional to 172,930.59, 259,397.10 and 54,611.46 is: 81,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,930.59 : 259,397.10 = 54,611.46 : x
  2. Step 2: Convert to fraction form
    172,930.59/259,397.10 = 54,611.46/x
  3. Step 3: Cross multiply
    172,930.59x = 259,397.10 × 54,611.46
  4. Step 4: Simplify right side
    172,930.59x = 14,166,054,350.77
  5. Step 5: Solve for x
    x = 14,166,054,350.77/172,930.59
  6. Step 6: Final answer
    x = 81,917.57

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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.