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Finding the Fourth Proportional to 75,259.50, 112,896.81 and 19,855.50

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Solution

The fourth proportional to 75,259.50, 112,896.81 and 19,855.50 is: 29,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,259.50 : 112,896.81 = 19,855.50 : x
  2. Step 2: Convert to fraction form
    75,259.50/112,896.81 = 19,855.50/x
  3. Step 3: Cross multiply
    75,259.50x = 112,896.81 × 19,855.50
  4. Step 4: Simplify right side
    75,259.50x = 2,241,622,610.96
  5. Step 5: Solve for x
    x = 2,241,622,610.96/75,259.50
  6. Step 6: Final answer
    x = 29,785.24

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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.