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Finding the Fourth Proportional to 204,525.65, 306,809.43 and 78,272.09

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Solution

The fourth proportional to 204,525.65, 306,809.43 and 78,272.09 is: 117,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,525.65 : 306,809.43 = 78,272.09 : x
  2. Step 2: Convert to fraction form
    204,525.65/306,809.43 = 78,272.09/x
  3. Step 3: Cross multiply
    204,525.65x = 306,809.43 × 78,272.09
  4. Step 4: Simplify right side
    204,525.65x = 24,014,616,084.83
  5. Step 5: Solve for x
    x = 24,014,616,084.83/204,525.65
  6. Step 6: Final answer
    x = 117,416.16

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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.