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Finding the Fourth Proportional to 203,147.84, 280,390.67 and 135,167.67

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Solution

The fourth proportional to 203,147.84, 280,390.67 and 135,167.67 is: 186,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,147.84 : 280,390.67 = 135,167.67 : x
  2. Step 2: Convert to fraction form
    203,147.84/280,390.67 = 135,167.67/x
  3. Step 3: Cross multiply
    203,147.84x = 280,390.67 × 135,167.67
  4. Step 4: Simplify right side
    203,147.84x = 37,899,752,877.80
  5. Step 5: Solve for x
    x = 37,899,752,877.80/203,147.84
  6. Step 6: Final answer
    x = 186,562.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.