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Finding the Fourth Proportional to 137,180.70, 205,785.63 and 43,664.58

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Solution

The fourth proportional to 137,180.70, 205,785.63 and 43,664.58 is: 65,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,180.70 : 205,785.63 = 43,664.58 : x
  2. Step 2: Convert to fraction form
    137,180.70/205,785.63 = 43,664.58/x
  3. Step 3: Cross multiply
    137,180.70x = 205,785.63 × 43,664.58
  4. Step 4: Simplify right side
    137,180.70x = 8,985,543,103.99
  5. Step 5: Solve for x
    x = 8,985,543,103.99/137,180.70
  6. Step 6: Final answer
    x = 65,501.51

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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.