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Finding the Fourth Proportional to 71,776.44, 107,664.66 and 19,186.20

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Solution

The fourth proportional to 71,776.44, 107,664.66 and 19,186.20 is: 28,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776.44 : 107,664.66 = 19,186.20 : x
  2. Step 2: Convert to fraction form
    71,776.44/107,664.66 = 19,186.20/x
  3. Step 3: Cross multiply
    71,776.44x = 107,664.66 × 19,186.20
  4. Step 4: Simplify right side
    71,776.44x = 2,065,675,699.69
  5. Step 5: Solve for x
    x = 2,065,675,699.69/71,776.44
  6. Step 6: Final answer
    x = 28,779.30

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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.