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Finding the Fourth Proportional to 75,171, 112,763.16 and 19,767

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Solution

The fourth proportional to 75,171, 112,763.16 and 19,767 is: 29,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171 : 112,763.16 = 19,767 : x
  2. Step 2: Convert to fraction form
    75,171/112,763.16 = 19,767/x
  3. Step 3: Cross multiply
    75,171x = 112,763.16 × 19,767
  4. Step 4: Simplify right side
    75,171x = 2,228,989,383.72
  5. Step 5: Solve for x
    x = 2,228,989,383.72/75,171
  6. Step 6: Final answer
    x = 29,652.25

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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.