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Finding the Fourth Proportional to 71,769.47, 107,665.14 and 36,697.28

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Solution

The fourth proportional to 71,769.47, 107,665.14 and 36,697.28 is: 55,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.47 : 107,665.14 = 36,697.28 : x
  2. Step 2: Convert to fraction form
    71,769.47/107,665.14 = 36,697.28/x
  3. Step 3: Cross multiply
    71,769.47x = 107,665.14 × 36,697.28
  4. Step 4: Simplify right side
    71,769.47x = 3,951,017,788.82
  5. Step 5: Solve for x
    x = 3,951,017,788.82/71,769.47
  6. Step 6: Final answer
    x = 55,051.51

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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.