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Finding the Fourth Proportional to 71,762.63, 107,659.33 and 21,846.78

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Solution

The fourth proportional to 71,762.63, 107,659.33 and 21,846.78 is: 32,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.63 : 107,659.33 = 21,846.78 : x
  2. Step 2: Convert to fraction form
    71,762.63/107,659.33 = 21,846.78/x
  3. Step 3: Cross multiply
    71,762.63x = 107,659.33 × 21,846.78
  4. Step 4: Simplify right side
    71,762.63x = 2,352,009,642.84
  5. Step 5: Solve for x
    x = 2,352,009,642.84/71,762.63
  6. Step 6: Final answer
    x = 32,774.86

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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.