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Finding the Fourth Proportional to 77,082.60, 115,710.30 and 59,629.80

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Solution

The fourth proportional to 77,082.60, 115,710.30 and 59,629.80 is: 89,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.60 : 115,710.30 = 59,629.80 : x
  2. Step 2: Convert to fraction form
    77,082.60/115,710.30 = 59,629.80/x
  3. Step 3: Cross multiply
    77,082.60x = 115,710.30 × 59,629.80
  4. Step 4: Simplify right side
    77,082.60x = 6,899,782,046.94
  5. Step 5: Solve for x
    x = 6,899,782,046.94/77,082.60
  6. Step 6: Final answer
    x = 89,511.54

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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.