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Finding the Fourth Proportional to 136,512, 204,768 and 38,016

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Solution

The fourth proportional to 136,512, 204,768 and 38,016 is: 57,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,512 : 204,768 = 38,016 : x
  2. Step 2: Convert to fraction form
    136,512/204,768 = 38,016/x
  3. Step 3: Cross multiply
    136,512x = 204,768 × 38,016
  4. Step 4: Simplify right side
    136,512x = 7,784,460,288
  5. Step 5: Solve for x
    x = 7,784,460,288/136,512
  6. Step 6: Final answer
    x = 57,024

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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.