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Finding the Fourth Proportional to 159,837.31, 239,678.20 and 84,993.31

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Solution

The fourth proportional to 159,837.31, 239,678.20 and 84,993.31 is: 127,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,837.31 : 239,678.20 = 84,993.31 : x
  2. Step 2: Convert to fraction form
    159,837.31/239,678.20 = 84,993.31/x
  3. Step 3: Cross multiply
    159,837.31x = 239,678.20 × 84,993.31
  4. Step 4: Simplify right side
    159,837.31x = 20,371,043,552.84
  5. Step 5: Solve for x
    x = 20,371,043,552.84/159,837.31
  6. Step 6: Final answer
    x = 127,448.61

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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.