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Finding the Fourth Proportional to 202,914.30, 304,371.45 and 78,255.30

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Solution

The fourth proportional to 202,914.30, 304,371.45 and 78,255.30 is: 117,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914.30 : 304,371.45 = 78,255.30 : x
  2. Step 2: Convert to fraction form
    202,914.30/304,371.45 = 78,255.30/x
  3. Step 3: Cross multiply
    202,914.30x = 304,371.45 × 78,255.30
  4. Step 4: Simplify right side
    202,914.30x = 23,818,679,131.19
  5. Step 5: Solve for x
    x = 23,818,679,131.19/202,914.30
  6. Step 6: Final answer
    x = 117,382.95

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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.