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Finding the Fourth Proportional to 206,115.98, 308,485.06 and 117,345.65

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Solution

The fourth proportional to 206,115.98, 308,485.06 and 117,345.65 is: 175,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,115.98 : 308,485.06 = 117,345.65 : x
  2. Step 2: Convert to fraction form
    206,115.98/308,485.06 = 117,345.65/x
  3. Step 3: Cross multiply
    206,115.98x = 308,485.06 × 117,345.65
  4. Step 4: Simplify right side
    206,115.98x = 36,199,378,045.20
  5. Step 5: Solve for x
    x = 36,199,378,045.20/206,115.98
  6. Step 6: Final answer
    x = 175,626.26

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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.