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Finding the Fourth Proportional to 136,942.17, 188,978.90 and 76,523.22

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Solution

The fourth proportional to 136,942.17, 188,978.90 and 76,523.22 is: 105,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,942.17 : 188,978.90 = 76,523.22 : x
  2. Step 2: Convert to fraction form
    136,942.17/188,978.90 = 76,523.22/x
  3. Step 3: Cross multiply
    136,942.17x = 188,978.90 × 76,523.22
  4. Step 4: Simplify right side
    136,942.17x = 14,461,273,557.44
  5. Step 5: Solve for x
    x = 14,461,273,557.44/136,942.17
  6. Step 6: Final answer
    x = 105,601.32

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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.