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Finding the Fourth Proportional to 171,942.96, 257,988.36 and 83,262.96

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Solution

The fourth proportional to 171,942.96, 257,988.36 and 83,262.96 is: 124,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,942.96 : 257,988.36 = 83,262.96 : x
  2. Step 2: Convert to fraction form
    171,942.96/257,988.36 = 83,262.96/x
  3. Step 3: Cross multiply
    171,942.96x = 257,988.36 × 83,262.96
  4. Step 4: Simplify right side
    171,942.96x = 21,480,874,499.15
  5. Step 5: Solve for x
    x = 21,480,874,499.15/171,942.96
  6. Step 6: Final answer
    x = 124,930.24

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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.