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Finding the Fourth Proportional to 135,065, 186,389.70 and 75,449

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Solution

The fourth proportional to 135,065, 186,389.70 and 75,449 is: 104,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,065 : 186,389.70 = 75,449 : x
  2. Step 2: Convert to fraction form
    135,065/186,389.70 = 75,449/x
  3. Step 3: Cross multiply
    135,065x = 186,389.70 × 75,449
  4. Step 4: Simplify right side
    135,065x = 14,062,916,475.30
  5. Step 5: Solve for x
    x = 14,062,916,475.30/135,065
  6. Step 6: Final answer
    x = 104,119.62

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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.