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Finding the Fourth Proportional to 205,553.70, 308,085.12 and 105,761.70

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Solution

The fourth proportional to 205,553.70, 308,085.12 and 105,761.70 is: 158,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,553.70 : 308,085.12 = 105,761.70 : x
  2. Step 2: Convert to fraction form
    205,553.70/308,085.12 = 105,761.70/x
  3. Step 3: Cross multiply
    205,553.70x = 308,085.12 × 105,761.70
  4. Step 4: Simplify right side
    205,553.70x = 32,583,606,035.90
  5. Step 5: Solve for x
    x = 32,583,606,035.90/205,553.70
  6. Step 6: Final answer
    x = 158,516.27

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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.