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Finding the Fourth Proportional to 205,717.57, 308,583.17 and 70,780.34

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Solution

The fourth proportional to 205,717.57, 308,583.17 and 70,780.34 is: 106,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,717.57 : 308,583.17 = 70,780.34 : x
  2. Step 2: Convert to fraction form
    205,717.57/308,583.17 = 70,780.34/x
  3. Step 3: Cross multiply
    205,717.57x = 308,583.17 × 70,780.34
  4. Step 4: Simplify right side
    205,717.57x = 21,841,621,690.88
  5. Step 5: Solve for x
    x = 21,841,621,690.88/205,717.57
  6. Step 6: Final answer
    x = 106,172.85

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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.