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Finding the Fourth Proportional to 102,568.80, 153,896.40 and 55,855.20

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Solution

The fourth proportional to 102,568.80, 153,896.40 and 55,855.20 is: 83,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,568.80 : 153,896.40 = 55,855.20 : x
  2. Step 2: Convert to fraction form
    102,568.80/153,896.40 = 55,855.20/x
  3. Step 3: Cross multiply
    102,568.80x = 153,896.40 × 55,855.20
  4. Step 4: Simplify right side
    102,568.80x = 8,595,914,201.28
  5. Step 5: Solve for x
    x = 8,595,914,201.28/102,568.80
  6. Step 6: Final answer
    x = 83,806.33

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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.