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Finding the Fourth Proportional to 77,540.52, 116,152.94 and 71,082.12

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Solution

The fourth proportional to 77,540.52, 116,152.94 and 71,082.12 is: 106,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,540.52 : 116,152.94 = 71,082.12 : x
  2. Step 2: Convert to fraction form
    77,540.52/116,152.94 = 71,082.12/x
  3. Step 3: Cross multiply
    77,540.52x = 116,152.94 × 71,082.12
  4. Step 4: Simplify right side
    77,540.52x = 8,256,397,219.43
  5. Step 5: Solve for x
    x = 8,256,397,219.43/77,540.52
  6. Step 6: Final answer
    x = 106,478.49

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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.