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Finding the Fourth Proportional to 206,118.48, 308,488.80 and 117,348.15

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Solution

The fourth proportional to 206,118.48, 308,488.80 and 117,348.15 is: 175,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,118.48 : 308,488.80 = 117,348.15 : x
  2. Step 2: Convert to fraction form
    206,118.48/308,488.80 = 117,348.15/x
  3. Step 3: Cross multiply
    206,118.48x = 308,488.80 × 117,348.15
  4. Step 4: Simplify right side
    206,118.48x = 36,200,589,975.72
  5. Step 5: Solve for x
    x = 36,200,589,975.72/206,118.48
  6. Step 6: Final answer
    x = 175,630.01

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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.