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Finding the Fourth Proportional to 149,420.70, 206,200.53 and 82,352.70

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Solution

The fourth proportional to 149,420.70, 206,200.53 and 82,352.70 is: 113,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,420.70 : 206,200.53 = 82,352.70 : x
  2. Step 2: Convert to fraction form
    149,420.70/206,200.53 = 82,352.70/x
  3. Step 3: Cross multiply
    149,420.70x = 206,200.53 × 82,352.70
  4. Step 4: Simplify right side
    149,420.70x = 16,981,170,386.93
  5. Step 5: Solve for x
    x = 16,981,170,386.93/149,420.70
  6. Step 6: Final answer
    x = 113,646.71

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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.