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Finding the Fourth Proportional to 135,357, 186,792.66 and 75,741

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Solution

The fourth proportional to 135,357, 186,792.66 and 75,741 is: 104,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,357 : 186,792.66 = 75,741 : x
  2. Step 2: Convert to fraction form
    135,357/186,792.66 = 75,741/x
  3. Step 3: Cross multiply
    135,357x = 186,792.66 × 75,741
  4. Step 4: Simplify right side
    135,357x = 14,147,862,861.06
  5. Step 5: Solve for x
    x = 14,147,862,861.06/135,357
  6. Step 6: Final answer
    x = 104,522.58

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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.