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Finding the Fourth Proportional to 204,955.40, 307,287.30 and 78,546.80

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Solution

The fourth proportional to 204,955.40, 307,287.30 and 78,546.80 is: 117,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,955.40 : 307,287.30 = 78,546.80 : x
  2. Step 2: Convert to fraction form
    204,955.40/307,287.30 = 78,546.80/x
  3. Step 3: Cross multiply
    204,955.40x = 307,287.30 × 78,546.80
  4. Step 4: Simplify right side
    204,955.40x = 24,136,434,095.64
  5. Step 5: Solve for x
    x = 24,136,434,095.64/204,955.40
  6. Step 6: Final answer
    x = 117,764.32

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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.