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Finding the Fourth Proportional to 259,059.31, 388,641.34 and 109,299.96

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Solution

The fourth proportional to 259,059.31, 388,641.34 and 109,299.96 is: 163,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,059.31 : 388,641.34 = 109,299.96 : x
  2. Step 2: Convert to fraction form
    259,059.31/388,641.34 = 109,299.96/x
  3. Step 3: Cross multiply
    259,059.31x = 388,641.34 × 109,299.96
  4. Step 4: Simplify right side
    259,059.31x = 42,478,483,052.97
  5. Step 5: Solve for x
    x = 42,478,483,052.97/259,059.31
  6. Step 6: Final answer
    x = 163,972.04

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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.