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Finding the Fourth Proportional to 202,729.92, 304,107.36 and 78,071.04

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Solution

The fourth proportional to 202,729.92, 304,107.36 and 78,071.04 is: 117,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,729.92 : 304,107.36 = 78,071.04 : x
  2. Step 2: Convert to fraction form
    202,729.92/304,107.36 = 78,071.04/x
  3. Step 3: Cross multiply
    202,729.92x = 304,107.36 × 78,071.04
  4. Step 4: Simplify right side
    202,729.92x = 23,741,977,866.85
  5. Step 5: Solve for x
    x = 23,741,977,866.85/202,729.92
  6. Step 6: Final answer
    x = 117,111.37

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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.