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Finding the Fourth Proportional to 136,638, 204,991.64 and 38,142

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Solution

The fourth proportional to 136,638, 204,991.64 and 38,142 is: 57,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638 : 204,991.64 = 38,142 : x
  2. Step 2: Convert to fraction form
    136,638/204,991.64 = 38,142/x
  3. Step 3: Cross multiply
    136,638x = 204,991.64 × 38,142
  4. Step 4: Simplify right side
    136,638x = 7,818,791,132.88
  5. Step 5: Solve for x
    x = 7,818,791,132.88/136,638
  6. Step 6: Final answer
    x = 57,222.67

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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.