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Finding the Fourth Proportional to 205,790.52, 308,720.34 and 70,849.20

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Solution

The fourth proportional to 205,790.52, 308,720.34 and 70,849.20 is: 106,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,790.52 : 308,720.34 = 70,849.20 : x
  2. Step 2: Convert to fraction form
    205,790.52/308,720.34 = 70,849.20/x
  3. Step 3: Cross multiply
    205,790.52x = 308,720.34 × 70,849.20
  4. Step 4: Simplify right side
    205,790.52x = 21,872,589,112.73
  5. Step 5: Solve for x
    x = 21,872,589,112.73/205,790.52
  6. Step 6: Final answer
    x = 106,285.70

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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.