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Finding the Fourth Proportional to 205,158.82, 307,671.78 and 68,345.62

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Solution

The fourth proportional to 205,158.82, 307,671.78 and 68,345.62 is: 102,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,158.82 : 307,671.78 = 68,345.62 : x
  2. Step 2: Convert to fraction form
    205,158.82/307,671.78 = 68,345.62/x
  3. Step 3: Cross multiply
    205,158.82x = 307,671.78 × 68,345.62
  4. Step 4: Simplify right side
    205,158.82x = 21,028,018,560.60
  5. Step 5: Solve for x
    x = 21,028,018,560.60/205,158.82
  6. Step 6: Final answer
    x = 102,496.29

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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.