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Finding the Fourth Proportional to 136,558.34, 188,443.41 and 75,314.59

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Solution

The fourth proportional to 136,558.34, 188,443.41 and 75,314.59 is: 103,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,558.34 : 188,443.41 = 75,314.59 : x
  2. Step 2: Convert to fraction form
    136,558.34/188,443.41 = 75,314.59/x
  3. Step 3: Cross multiply
    136,558.34x = 188,443.41 × 75,314.59
  4. Step 4: Simplify right side
    136,558.34x = 14,192,538,892.45
  5. Step 5: Solve for x
    x = 14,192,538,892.45/136,558.34
  6. Step 6: Final answer
    x = 103,930.23

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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.