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Finding the Fourth Proportional to 75,260.25, 112,897.94 and 19,856.25

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Solution

The fourth proportional to 75,260.25, 112,897.94 and 19,856.25 is: 29,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260.25 : 112,897.94 = 19,856.25 : x
  2. Step 2: Convert to fraction form
    75,260.25/112,897.94 = 19,856.25/x
  3. Step 3: Cross multiply
    75,260.25x = 112,897.94 × 19,856.25
  4. Step 4: Simplify right side
    75,260.25x = 2,241,729,621.84
  5. Step 5: Solve for x
    x = 2,241,729,621.84/75,260.25
  6. Step 6: Final answer
    x = 29,786.37

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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.