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Finding the Fourth Proportional to 51,481, 71,043.30 and 29,125

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Solution

The fourth proportional to 51,481, 71,043.30 and 29,125 is: 40,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,481 : 71,043.30 = 29,125 : x
  2. Step 2: Convert to fraction form
    51,481/71,043.30 = 29,125/x
  3. Step 3: Cross multiply
    51,481x = 71,043.30 × 29,125
  4. Step 4: Simplify right side
    51,481x = 2,069,136,112.50
  5. Step 5: Solve for x
    x = 2,069,136,112.50/51,481
  6. Step 6: Final answer
    x = 40,192.23

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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.