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Finding the Fourth Proportional to 205,812, 308,437.44 and 115,897.60

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Solution

The fourth proportional to 205,812, 308,437.44 and 115,897.60 is: 173,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812 : 308,437.44 = 115,897.60 : x
  2. Step 2: Convert to fraction form
    205,812/308,437.44 = 115,897.60/x
  3. Step 3: Cross multiply
    205,812x = 308,437.44 × 115,897.60
  4. Step 4: Simplify right side
    205,812x = 35,747,159,046.14
  5. Step 5: Solve for x
    x = 35,747,159,046.14/205,812
  6. Step 6: Final answer
    x = 173,688.41

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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.