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Finding the Fourth Proportional to 204,891.40, 307,191.30 and 78,482.80

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Solution

The fourth proportional to 204,891.40, 307,191.30 and 78,482.80 is: 117,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,891.40 : 307,191.30 = 78,482.80 : x
  2. Step 2: Convert to fraction form
    204,891.40/307,191.30 = 78,482.80/x
  3. Step 3: Cross multiply
    204,891.40x = 307,191.30 × 78,482.80
  4. Step 4: Simplify right side
    204,891.40x = 24,109,233,359.64
  5. Step 5: Solve for x
    x = 24,109,233,359.64/204,891.40
  6. Step 6: Final answer
    x = 117,668.35

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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.