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Finding the Fourth Proportional to 206,855.04, 310,374.72 and 108,336

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Solution

The fourth proportional to 206,855.04, 310,374.72 and 108,336 is: 162,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855.04 : 310,374.72 = 108,336 : x
  2. Step 2: Convert to fraction form
    206,855.04/310,374.72 = 108,336/x
  3. Step 3: Cross multiply
    206,855.04x = 310,374.72 × 108,336
  4. Step 4: Simplify right side
    206,855.04x = 33,624,755,665.92
  5. Step 5: Solve for x
    x = 33,624,755,665.92/206,855.04
  6. Step 6: Final answer
    x = 162,552.27

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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.