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Finding the Fourth Proportional to 77,065.43, 115,597.61 and 39,635.94

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Solution

The fourth proportional to 77,065.43, 115,597.61 and 39,635.94 is: 59,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,065.43 : 115,597.61 = 39,635.94 : x
  2. Step 2: Convert to fraction form
    77,065.43/115,597.61 = 39,635.94/x
  3. Step 3: Cross multiply
    77,065.43x = 115,597.61 × 39,635.94
  4. Step 4: Simplify right side
    77,065.43x = 4,581,819,735.92
  5. Step 5: Solve for x
    x = 4,581,819,735.92/77,065.43
  6. Step 6: Final answer
    x = 59,453.63

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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.