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Finding the Fourth Proportional to 76,965.94, 106,205.94 and 45,128.86

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Solution

The fourth proportional to 76,965.94, 106,205.94 and 45,128.86 is: 62,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.94 : 106,205.94 = 45,128.86 : x
  2. Step 2: Convert to fraction form
    76,965.94/106,205.94 = 45,128.86/x
  3. Step 3: Cross multiply
    76,965.94x = 106,205.94 × 45,128.86
  4. Step 4: Simplify right side
    76,965.94x = 4,792,952,997.43
  5. Step 5: Solve for x
    x = 4,792,952,997.43/76,965.94
  6. Step 6: Final answer
    x = 62,273.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.