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Finding the Fourth Proportional to 149,315.57, 206,055.49 and 82,247.57

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Solution

The fourth proportional to 149,315.57, 206,055.49 and 82,247.57 is: 113,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,315.57 : 206,055.49 = 82,247.57 : x
  2. Step 2: Convert to fraction form
    149,315.57/206,055.49 = 82,247.57/x
  3. Step 3: Cross multiply
    149,315.57x = 206,055.49 × 82,247.57
  4. Step 4: Simplify right side
    149,315.57x = 16,947,563,337.66
  5. Step 5: Solve for x
    x = 16,947,563,337.66/149,315.57
  6. Step 6: Final answer
    x = 113,501.65

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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.