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Finding the Fourth Proportional to 206,813.04, 310,311.72 and 108,294

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Solution

The fourth proportional to 206,813.04, 310,311.72 and 108,294 is: 162,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.04 : 310,311.72 = 108,294 : x
  2. Step 2: Convert to fraction form
    206,813.04/310,311.72 = 108,294/x
  3. Step 3: Cross multiply
    206,813.04x = 310,311.72 × 108,294
  4. Step 4: Simplify right side
    206,813.04x = 33,604,897,405.68
  5. Step 5: Solve for x
    x = 33,604,897,405.68/206,813.04
  6. Step 6: Final answer
    x = 162,489.26

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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.