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Finding the Fourth Proportional to 76,713, 105,912.42 and 58,774.68

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Solution

The fourth proportional to 76,713, 105,912.42 and 58,774.68 is: 81,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,713 : 105,912.42 = 58,774.68 : x
  2. Step 2: Convert to fraction form
    76,713/105,912.42 = 58,774.68/x
  3. Step 3: Cross multiply
    76,713x = 105,912.42 × 58,774.68
  4. Step 4: Simplify right side
    76,713x = 6,224,968,593.53
  5. Step 5: Solve for x
    x = 6,224,968,593.53/76,713
  6. Step 6: Final answer
    x = 81,146.20

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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.