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Finding the Fourth Proportional to 205,907.40, 308,832.30 and 65,680.20

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Solution

The fourth proportional to 205,907.40, 308,832.30 and 65,680.20 is: 98,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,907.40 : 308,832.30 = 65,680.20 : x
  2. Step 2: Convert to fraction form
    205,907.40/308,832.30 = 65,680.20/x
  3. Step 3: Cross multiply
    205,907.40x = 308,832.30 × 65,680.20
  4. Step 4: Simplify right side
    205,907.40x = 20,284,167,230.46
  5. Step 5: Solve for x
    x = 20,284,167,230.46/205,907.40
  6. Step 6: Final answer
    x = 98,511.11

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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.