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Finding the Fourth Proportional to 134,801, 186,025.38 and 75,185

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Solution

The fourth proportional to 134,801, 186,025.38 and 75,185 is: 103,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,801 : 186,025.38 = 75,185 : x
  2. Step 2: Convert to fraction form
    134,801/186,025.38 = 75,185/x
  3. Step 3: Cross multiply
    134,801x = 186,025.38 × 75,185
  4. Step 4: Simplify right side
    134,801x = 13,986,318,195.30
  5. Step 5: Solve for x
    x = 13,986,318,195.30/134,801
  6. Step 6: Final answer
    x = 103,755.30

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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.