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Finding the Fourth Proportional to 78,698.46, 118,082.54 and 41,249.63

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Solution

The fourth proportional to 78,698.46, 118,082.54 and 41,249.63 is: 61,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,698.46 : 118,082.54 = 41,249.63 : x
  2. Step 2: Convert to fraction form
    78,698.46/118,082.54 = 41,249.63/x
  3. Step 3: Cross multiply
    78,698.46x = 118,082.54 × 41,249.63
  4. Step 4: Simplify right side
    78,698.46x = 4,870,861,328.10
  5. Step 5: Solve for x
    x = 4,870,861,328.10/78,698.46
  6. Step 6: Final answer
    x = 61,892.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.