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Finding the Fourth Proportional to 77,581.96, 107,074.65 and 47,384.62

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Solution

The fourth proportional to 77,581.96, 107,074.65 and 47,384.62 is: 65,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,581.96 : 107,074.65 = 47,384.62 : x
  2. Step 2: Convert to fraction form
    77,581.96/107,074.65 = 47,384.62/x
  3. Step 3: Cross multiply
    77,581.96x = 107,074.65 × 47,384.62
  4. Step 4: Simplify right side
    77,581.96x = 5,073,691,601.88
  5. Step 5: Solve for x
    x = 5,073,691,601.88/77,581.96
  6. Step 6: Final answer
    x = 65,397.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.