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Finding the Fourth Proportional to 101,764.88, 152,639.64 and 51,813.68

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Solution

The fourth proportional to 101,764.88, 152,639.64 and 51,813.68 is: 77,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764.88 : 152,639.64 = 51,813.68 : x
  2. Step 2: Convert to fraction form
    101,764.88/152,639.64 = 51,813.68/x
  3. Step 3: Cross multiply
    101,764.88x = 152,639.64 × 51,813.68
  4. Step 4: Simplify right side
    101,764.88x = 7,908,821,462.28
  5. Step 5: Solve for x
    x = 7,908,821,462.28/101,764.88
  6. Step 6: Final answer
    x = 77,716.61

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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.