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Finding the Fourth Proportional to 202,857.34, 304,460.97 and 78,285.82

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Solution

The fourth proportional to 202,857.34, 304,460.97 and 78,285.82 is: 117,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.34 : 304,460.97 = 78,285.82 : x
  2. Step 2: Convert to fraction form
    202,857.34/304,460.97 = 78,285.82/x
  3. Step 3: Cross multiply
    202,857.34x = 304,460.97 × 78,285.82
  4. Step 4: Simplify right side
    202,857.34x = 23,834,976,694.45
  5. Step 5: Solve for x
    x = 23,834,976,694.45/202,857.34
  6. Step 6: Final answer
    x = 117,496.25

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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.