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Finding the Fourth Proportional to 76,820.94, 105,952.80 and 49,972.02

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Solution

The fourth proportional to 76,820.94, 105,952.80 and 49,972.02 is: 68,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820.94 : 105,952.80 = 49,972.02 : x
  2. Step 2: Convert to fraction form
    76,820.94/105,952.80 = 49,972.02/x
  3. Step 3: Cross multiply
    76,820.94x = 105,952.80 × 49,972.02
  4. Step 4: Simplify right side
    76,820.94x = 5,294,675,440.66
  5. Step 5: Solve for x
    x = 5,294,675,440.66/76,820.94
  6. Step 6: Final answer
    x = 68,922.29

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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.