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Finding the Fourth Proportional to 202,968.80, 304,453.20 and 78,309.80

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Solution

The fourth proportional to 202,968.80, 304,453.20 and 78,309.80 is: 117,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,968.80 : 304,453.20 = 78,309.80 : x
  2. Step 2: Convert to fraction form
    202,968.80/304,453.20 = 78,309.80/x
  3. Step 3: Cross multiply
    202,968.80x = 304,453.20 × 78,309.80
  4. Step 4: Simplify right side
    202,968.80x = 23,841,669,201.36
  5. Step 5: Solve for x
    x = 23,841,669,201.36/202,968.80
  6. Step 6: Final answer
    x = 117,464.70

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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.