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Finding the Fourth Proportional to 135,042.96, 202,050.48 and 81,538

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Solution

The fourth proportional to 135,042.96, 202,050.48 and 81,538 is: 121,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,042.96 : 202,050.48 = 81,538 : x
  2. Step 2: Convert to fraction form
    135,042.96/202,050.48 = 81,538/x
  3. Step 3: Cross multiply
    135,042.96x = 202,050.48 × 81,538
  4. Step 4: Simplify right side
    135,042.96x = 16,474,792,038.24
  5. Step 5: Solve for x
    x = 16,474,792,038.24/135,042.96
  6. Step 6: Final answer
    x = 121,996.67

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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.