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Finding the Fourth Proportional to 136,942.56, 188,989.64 and 76,513.56

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Solution

The fourth proportional to 136,942.56, 188,989.64 and 76,513.56 is: 105,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,942.56 : 188,989.64 = 76,513.56 : x
  2. Step 2: Convert to fraction form
    136,942.56/188,989.64 = 76,513.56/x
  3. Step 3: Cross multiply
    136,942.56x = 188,989.64 × 76,513.56
  4. Step 4: Simplify right side
    136,942.56x = 14,460,270,159.52
  5. Step 5: Solve for x
    x = 14,460,270,159.52/136,942.56
  6. Step 6: Final answer
    x = 105,593.69

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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.