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Finding the Fourth Proportional to 121,963.92, 182,840.70 and 47,136.56

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Solution

The fourth proportional to 121,963.92, 182,840.70 and 47,136.56 is: 70,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,963.92 : 182,840.70 = 47,136.56 : x
  2. Step 2: Convert to fraction form
    121,963.92/182,840.70 = 47,136.56/x
  3. Step 3: Cross multiply
    121,963.92x = 182,840.70 × 47,136.56
  4. Step 4: Simplify right side
    121,963.92x = 8,618,481,625.99
  5. Step 5: Solve for x
    x = 8,618,481,625.99/121,963.92
  6. Step 6: Final answer
    x = 70,664.19

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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.