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Finding the Fourth Proportional to 137,640.48, 189,928.58 and 77,198.55

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Solution

The fourth proportional to 137,640.48, 189,928.58 and 77,198.55 is: 106,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.48 : 189,928.58 = 77,198.55 : x
  2. Step 2: Convert to fraction form
    137,640.48/189,928.58 = 77,198.55/x
  3. Step 3: Cross multiply
    137,640.48x = 189,928.58 × 77,198.55
  4. Step 4: Simplify right side
    137,640.48x = 14,662,210,593.57
  5. Step 5: Solve for x
    x = 14,662,210,593.57/137,640.48
  6. Step 6: Final answer
    x = 106,525.42

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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.