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Finding the Fourth Proportional to 75,261.25, 112,899.44 and 19,857.25

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Solution

The fourth proportional to 75,261.25, 112,899.44 and 19,857.25 is: 29,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,261.25 : 112,899.44 = 19,857.25 : x
  2. Step 2: Convert to fraction form
    75,261.25/112,899.44 = 19,857.25/x
  3. Step 3: Cross multiply
    75,261.25x = 112,899.44 × 19,857.25
  4. Step 4: Simplify right side
    75,261.25x = 2,241,872,404.94
  5. Step 5: Solve for x
    x = 2,241,872,404.94/75,261.25
  6. Step 6: Final answer
    x = 29,787.87

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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.