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Finding the Fourth Proportional to 205,129.40, 307,694.10 and 111,817.40

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Solution

The fourth proportional to 205,129.40, 307,694.10 and 111,817.40 is: 167,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,129.40 : 307,694.10 = 111,817.40 : x
  2. Step 2: Convert to fraction form
    205,129.40/307,694.10 = 111,817.40/x
  3. Step 3: Cross multiply
    205,129.40x = 307,694.10 × 111,817.40
  4. Step 4: Simplify right side
    205,129.40x = 34,405,554,257.34
  5. Step 5: Solve for x
    x = 34,405,554,257.34/205,129.40
  6. Step 6: Final answer
    x = 167,726.10

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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.