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Finding the Fourth Proportional to 71,406.20, 107,060.70 and 33,984.20

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Solution

The fourth proportional to 71,406.20, 107,060.70 and 33,984.20 is: 50,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.20 : 107,060.70 = 33,984.20 : x
  2. Step 2: Convert to fraction form
    71,406.20/107,060.70 = 33,984.20/x
  3. Step 3: Cross multiply
    71,406.20x = 107,060.70 × 33,984.20
  4. Step 4: Simplify right side
    71,406.20x = 3,638,372,240.94
  5. Step 5: Solve for x
    x = 3,638,372,240.94/71,406.20
  6. Step 6: Final answer
    x = 50,953.17

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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.