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Finding the Fourth Proportional to 136,294.69, 188,082.47 and 75,863.78

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Solution

The fourth proportional to 136,294.69, 188,082.47 and 75,863.78 is: 104,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,294.69 : 188,082.47 = 75,863.78 : x
  2. Step 2: Convert to fraction form
    136,294.69/188,082.47 = 75,863.78/x
  3. Step 3: Cross multiply
    136,294.69x = 188,082.47 × 75,863.78
  4. Step 4: Simplify right side
    136,294.69x = 14,268,646,375.18
  5. Step 5: Solve for x
    x = 14,268,646,375.18/136,294.69
  6. Step 6: Final answer
    x = 104,689.67

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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.