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Finding the Fourth Proportional to 75,277.44, 112,920.96 and 19,872

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Solution

The fourth proportional to 75,277.44, 112,920.96 and 19,872 is: 29,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277.44 : 112,920.96 = 19,872 : x
  2. Step 2: Convert to fraction form
    75,277.44/112,920.96 = 19,872/x
  3. Step 3: Cross multiply
    75,277.44x = 112,920.96 × 19,872
  4. Step 4: Simplify right side
    75,277.44x = 2,243,965,317.12
  5. Step 5: Solve for x
    x = 2,243,965,317.12/75,277.44
  6. Step 6: Final answer
    x = 29,809.27

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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.