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Finding the Fourth Proportional to 75,096, 112,644 and 19,692

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Solution

The fourth proportional to 75,096, 112,644 and 19,692 is: 29,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,096 : 112,644 = 19,692 : x
  2. Step 2: Convert to fraction form
    75,096/112,644 = 19,692/x
  3. Step 3: Cross multiply
    75,096x = 112,644 × 19,692
  4. Step 4: Simplify right side
    75,096x = 2,218,185,648
  5. Step 5: Solve for x
    x = 2,218,185,648/75,096
  6. Step 6: Final answer
    x = 29,538

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.