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Finding the Fourth Proportional to 71,829.51, 107,744.19 and 19,237.56

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Solution

The fourth proportional to 71,829.51, 107,744.19 and 19,237.56 is: 28,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,829.51 : 107,744.19 = 19,237.56 : x
  2. Step 2: Convert to fraction form
    71,829.51/107,744.19 = 19,237.56/x
  3. Step 3: Cross multiply
    71,829.51x = 107,744.19 × 19,237.56
  4. Step 4: Simplify right side
    71,829.51x = 2,072,735,319.78
  5. Step 5: Solve for x
    x = 2,072,735,319.78/71,829.51
  6. Step 6: Final answer
    x = 28,856.32

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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.