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Finding the Fourth Proportional to 174,397, 261,690 and 135,031

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Solution

The fourth proportional to 174,397, 261,690 and 135,031 is: 202,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,397 : 261,690 = 135,031 : x
  2. Step 2: Convert to fraction form
    174,397/261,690 = 135,031/x
  3. Step 3: Cross multiply
    174,397x = 261,690 × 135,031
  4. Step 4: Simplify right side
    174,397x = 35,336,262,390
  5. Step 5: Solve for x
    x = 35,336,262,390/174,397
  6. Step 6: Final answer
    x = 202,619.67

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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.